1 Introduction

The alkaline earth (Sr, Ca, Ba) silicates containing rare earth ions are functional inorganic materials with strong luminescence in blue, green to red regions. These materials are widely used in the illumination, displays devices, storage devices, textile printing, exterior decoration, luminous paints and many more [1, 2]. To highlight a few one may include ‘‘glow in dark items’’ as; safe helmets, direction indicators and signs, plasma display panel, graphic arts, cathode ray tubes, vacuum fluorescent display, and the like due to their better physical and chemical stability, excellent photo resistance, very bright and long lasting afterglow with no radioactive radiations and hence forms the important materials in various ceramics industries [3, 4].

In recent years, alkaline earth silicates especially Sr2MgSi2O7, SrCaMgSi2O7, SrBaMgSi2O7, Ca2MgSi2O7, Ba2MgSi2O7, SrMgSi2O6, CaMgSi2O6, Ba2SiO4, Sr2SiO4, Ca2SiO4, SrSiO3 etc. doped with rare earth ions (Eu2+, Dy3+ etc.) have been regarded as an excellent phosphor with high brightness and already in some commercial applications [57]. This has become possible due to their possessing broad and intense charge transfer (CT) bands or host absorption bands (HABs) in the near UV regions and thus they could efficiently transfer the absorbed energy to the activators (rare earth metal ions) by means of non-radiative mechanisms [8, 9]. Thus, the silicate based phosphors has wide range of emissions depending on the doped rare earth ions and the host compositions. However, the emission color is mostly limited to the blue to red regions in these silicates. There are limited reports on efficient silicate phosphors that emits white light spectrum which is considered to be important for the various display devices [10].

Dysprosium (Dy3+) is one of the important rare earth ions which play a major role in the production of different types of light emitting materials. The special interest in Dy3+ visible luminescence is due to the existence of two intense bands in the blue and yellow wavelength regions that, combined, will emit white light [11, 12]. The visible luminescence of Dy3+ ions mainly consists of two intense bands, one in the blue (460–480 nm) region and the other in the yellow (560–580 nm) region, which correspond to the 4F9/2 → 6H15/2 and 4F9/2 → 6H13/2 transitions. The interesting thing about the latter one is its hypersensitivity to the ligand environment of the Dy3+ ion. Also, at a suitable yellow to blue intensity ratio, the Dy3+ ions will emit white light [13]. Alkaline earth silicate based materials such as Sr2MgSi2O7, SrCaMgSi2O7, Ca2MgSi2O7 etc. also have strong mechanoluminescence (ML) and thermoluminescence (TL) properties. Currently, the ML phenomenon has attracted more attention because of its potential application for sensing structural damage, fractures, and deformation. Many efforts have been devoted to developing ML sensors due to their various applications such as visualization of stress, damage detection for air planes or cars, and the study of human diseases in the near future [14, 15].

In this paper, silicate was chosen as the host due to its special properties, such as low cost, easy preparation, excellent thermal and chemical stabilities, and especially the strong absorption in the near-UV region [16, 17]. Therefore, in this paper, we investigate the structural characterization and luminescent properties of dysprosium doped di-calcium magnesium di-silicate (Ca2MgSi2O7:Dy3+) phosphors with different concentration of Dy3+ ions (1.0, 1.5, 2.0, 2.5 and 3 mol%) by solid state reaction method. Solid state reaction method is widely used to prepare silicate based phosphors because samples prepared using this method has good luminescence intensity and very good morphology also. The crystal structure, chemical composition and different stretching modes were analyzed by X-ray diffractometer (XRD), energy dispersive X-ray spectroscopy (EDS) and fourier transform infrared (FTIR) spectra respectively. The luminescence properties were also investigated on the basis of thermoluminescence (TL), photoluminescence (PL), long afterglow (decay) and mechanoluminescence (ML) spectroscopy. Correlated color temperature (CCT) and color rendering index (CRI) was also calculated to check the suitability of practical white light source.

2 Experimental

2.1 Material preparation

The di-calcium magnesium di-silicate phosphors (Ca2MgSi2O7) with different concentration (1, 1.5, 2, 2.5 and 3 mol%) of Dy3+ ions was prepared by the high temperature solid state reaction method. The raw materials are calcium carbonate [CaCO3 (99.90 %)], magnesium oxide [MgO (99.90 %)], silicon di-oxide [SiO2 (99.99 %)] and dysprosium oxide [Dy2O3 (99.99 %)], all of analytical grade (A.R.), were employed in this experiment. Small amount of boric acid (H3BO3) was added as flux. Initially, the raw materials were weighed according to the nominal compositions of Ca2MgSi2O7:Dy3+ phosphors. Then the powders were mixed and milled thoroughly for 2 h using mortar and pestle. The chemical reaction used for stoichiometric calculation is:

$$ 4{\text{CaCO}}_{3} + \, 2{\text{MgO}} + \, 4{\text{SiO}}_{2} + \, 2{\text{Dy}}_{2} {\text{O}}_{3} \,\underrightarrow {1200\,{^\circ }{\text{C}}}\,2{\text{Ca}}_{2} {\text{MgSi}}_{2} {\text{O}}_{7}:{\text{Dy}}^{3 + } + \, 4{\text{CO}}_{2} + \, 3{\text{O}}_{2} \uparrow $$

The ground sample was placed in an alumina crucible and subsequently fired at 1200 °C for 3 h. At last the nominal compounds were obtained after the cooling down of programmable furnace and products were finally ground into powder for characterizing the phosphors.

2.2 Characterization techniques

The crystal structures of the prepared phosphors were characterized by powder XRD. Powder XRD pattern has been obtained from Bruker D8 advanced X-ray powder diffractometer and the data were collected over the 2θ range 10°–80°. The X-rays were produced using a sealed tube (CuKα) radiation source and the wavelength of X-ray was 1.54060 Å. The X-rays were detected using a fast counting detector based on Silicon strip technology (Bruker LynxEye detector). An EDS spectrum was used for the elemental (qualitative and quantitative) analysis of the prepared phosphors. FTIR spectra was recorded with the help of IR Prestige-21 by SHIMADZU for investigating the finger print region (1400–400 cm−1), as well as the functional groups (4000–1400 cm−1) of prepared phosphor in middle infrared region (4000–400 cm−1) by mixing the sample with potassium bromide (KBr, IR grade). TL glow curves were recorded with the help of TLD reader 1009I by Nucleonix (Hyderabad, India Pvt. Ltd.). TL emission spectrum was recorded with the help of different band pass interference (400–700 nm) filter. The excitation and emission spectra were recorded on a Shimadzu (RF 5301-PC) spectrofluorophotometer using the Xenon lamp (365 nm) as excitation source when measuring. The long afterglow (decay) curves were obtained using a Perkin Elmer fluorescent spectrometer with the proper excitation under a UV lamp (365 nm). The ML glow curve can be plotted with the help of SM-340 application software installed in a computer attached with the storage oscilloscope. All measurements were carried out at the room temperature.

3 Results and discussion

3.1 XRD analysis

In order to determine the crystal structure, powder XRD analysis has been carried out. The typical XRD patterns of Ca2MgSi2O7 and Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3 mol%) phosphors with the standard XRD pattern were shown in Fig. 1a. Nearly, all the diffraction peaks of the resultant phosphors are consistent with Joint Committee Powder Diffraction Standard data (JCPDS) file (JCPDS: 77-1149) [18]. The position and intensity of diffraction peaks of resultant phosphors are well matched with the standard JCPDS file. It can be concluded that prepared phosphors are chemically and structurally Ca2MgSi2O7 phosphors. From the XRD analysis of Ca2MgSi2O7 and Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3 mol%) phosphors, it was found that the little amount of doped Dy3+ ions have no effect on the crystal structure of Ca2MgSi2O7 phosphor.

Fig. 1
figure 1

a XRD pattern of Ca2MgSi2O7:Dy3+ phosphors with different Dy3+ concentration. b XRD pattern of Ca2MgSi2O7:Dy3+ (2 %) phosphor

Figure 1b shows the comparison between observed, calculated and standard (COD card No. 96-900-6452) XRD pattern of Ca2MgSi2O7:Dy3+ (2 %) phosphor by MATCH 2 software. The Standard XRD pattern of Ca2MgSi2O7 (COD card No. 96-900-6452) seems to show quite similar pattern as observed. The figure of merit (FOM) while matching these was 0.8989 (90 %) which illustrates that the crystal structure of the prepared sample agrees with the standard pattern COD card No. 96-900-6452. The Ca2MgSi2O7 crystalline phase is nearly same a = b = 7.8470 Å, c = 5.0097 Å, α = 90°, β = 90°, γ = 90° and cell volume = 299.24 (Å)3, Z = 2 is nearly same [a = b = 7.8350 Å and c = 5.0100 Å, α = 90°, β = 90°, γ = 90° and cell volume = 299.36 (Å)3, Z = 2], with the standard lattice parameters which again signifies the proper preparation of the discussed Ca2MgSi2O7:Dy3+ (2 %) phosphor. Hence, we conclude that the crystal structure of Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3 mol%) phosphors were an akermanite type structure which belongs to the tetragonal crystallography with space group \( {\text{P}}\overline{ 4 2}_{1} {\text{m}} \) (113 space number and \( {\text{D}}_{{2{\text{d}}}}^{3} \) space group), this structure is member of the melilite group and forms a layered compound.

3.2 Energy dispersive X-ray spectroscopy (EDS)

Figure 2 shows an EDS spectrum of Ca2MgSi2O7:Dy3+ (2 %) phosphor. The composition of the powder sample has been measured using an EDS spectrum. Table 1 shows the compositional (quantitative analysis) elements of Ca2MgSi2O7:Dy3+ (2 %) phosphor, which is compare with the standard elements. An EDS is a standard procedure for identifying and quantifying elemental (chemical) composition of phosphors area, as small as a few nanometers. The elements appear in ratios concomitant with the proportions mixed in the starting materials, which is representing the composition of the powder sample.

Fig. 2
figure 2

EDS spectra of Ca2MgSi2O7:Dy3+ (2 %) phosphor

Table 1 Chemical composition of Ca2MgSi2O7:Dy3+ (2 %) phosphor

The existence of dysprosium (Dy) in prepared Ca2MgSi2O7:Dy3+ (2 %) phosphor was clear in an EDS spectrum. They revealed that there is no other emission apart from calcium (Ca), magnesium (Mg), silicon (Si) and oxygen (O) in the EDS spectra of the phosphor. In the EDS spectrum, intense peaks are present which confirm the presence of elements in Ca2MgSi2O7:Dy3+ (2 %) phosphor.

3.3 Fourier transform infrared (FTIR) spectra

FTIR has been widely used for the identification of organic and inorganic compounds. The infrared spectrum of an inorganic compound represents its physical properties. Spectroscopically, the middle infrared region (4000–400 cm−1) is extremely useful for the study of organic and inorganic compounds. Figure 3 shows the FTIR spectra of Ca2MgSi2O7:Dy3+ (2 %) phosphor. In IR spectrum of Ca2MgSi2O7:Dy3+ (2 %) phosphor, clearly exhibited broad bands in the region (3437.15 cm−1) of hydroxyl group show the stretching vibration of hydroxyl (O–H) groups. The hydroxyl group in sintered phosphor is might be due to presence of moisture through environment. The asymmetric stretching of (CO3 2−) carbonates can be observed in the range of 1900–1700 cm−1. One weak shoulder, which corresponds to the out of plane bending, appears at approximately ~1919.32 cm−1. These bands are due to a slight carbonation of the samples preparation [CaCO3 (raw material)]. The vibration band around ~1635.04 cm−1 is assigned due to the Mg2+ [19].

Fig. 3
figure 3

FTIR spectra of Ca2MgSi2O7: Dy3+ (2 %) phosphor

In Ca2MgSi2O7 crystal structure, the coordination number of calcium can be 6 and 8. Therefore, Ca2+ can occupy two alternative lattice sites, the eight coordinated Ca2+ site [CaO8 (Ca1 site)] and the six coordinated Ca2+ site [CaO6 (Ca2 site)] and other two independent cations sites, namely Mg2+ [MgO4], and Si4+ [SiO4] also exist in the crystal lattice. Mg2+ and Si4+ cations occupy in the tetrahedral sites. When Dy3+ enters the lattice, it will only replace the original Ca2+ sites. So, Dy3+ will occupy four different lattice sites (Dy1, Dy2, Dy3, and Dy4) with coordination numbers of 6, 7, 8, and 9 [16, 17]. It’s hard for Dy3+ ions to incorporate the tetrahedral [MgO4] or [SiO4] symmetry but it can easily incorporate octahedral [CaO8] or hexahedral [CaO6]. Another fact that supports that the ionic radius of Dy3+ (0.99 Å) are very close to that of Ca2+ (about 1.12 Å) rather than Mg2+ (0.65 Å) and Si4+ (0.41 Å). Therefore, the Dy3+ ions are expected to occupy the Ca2+ sites in the Ca2MgSi2O7:Dy3+ (2 %) phosphor [20].

In the presented spectrum the absorption bands of silicate groups were clearly evident. The (Si–Ob–Si) and (Si–Onb) stretching modes for the silicate tetrahedral show infrared absorption bands, located at about ~982.14, 941.26, 687.87 646.29 cm−1. The two peaks in the finger print region ~846.20, 745.44 cm−1 are assigned due to the Ca2+ ions. The IR spectrum around ~493.76 cm−1 is based on the (Si–O–Si) bending modes as well as the Mg–O modes [2123].

3.4 Thermoluminescence (TL)

TL is one of the possible ways to investigate the trap states of the materials. TL records glow intensity as a function of temperature, providing information regarding the trapping energies and the de-trapping mechanisms. TL in the phosphor is generated by the de-trapped carriers (holes and/or electrons) which recombine with the opposite carriers in the luminescent centers accompanied with the visible emission [24]. The traps created by the lattice defects play a very important role on the TL properties of the phosphors. The depth of trapping levels is very critical for the long afterglow phosphorescence. The photo induced electrons are released thermally and recombined with the holes. The initial irradiation by UV/VIS light is necessary to observe long phosphorescence [25, 26]. If the depth of trap is too shallow, the phosphor shows fast decay. On the contrary, if it is too deep, the phosphor does not show any phosphorescence at room temperature [27].

In order to study the trap states of the prepared Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3 mol%) phosphors, TL glow curves were measured and are shown in Fig. 4a. The phosphors were first irradiated for 10 min using 365 nm UV source, then the radiation source was removed and the irradiated samples were heated at a linear heating rate of 5 °C/s, from room temperatures to 300 °C. Initially the TL intensity increases with temperature, attains a peak value for a particular temperature, and then it decreases with further increase in temperature. A single glow peak of Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3 mol%) phosphors were obtained at 135.23 °C. The single isolated peak due to the formation of only one type of luminescence center which is created due to the UV irradiation. It is suggested that the recombination center associated with the glow at the temperature interval arises from the presence of liberated pairs, which are probably the results from the thermal release of electron/holes from different kinds of traps and recombine at the color centers [28, 29]. It is also known that the doping of the rare earth ions increases the lattice defects which have existed already in the host. It is readily observed that, intensity of TL signals increases with increase concentration of Dy3+ ions. It reaches optimum intensity when concentration of Dy3+ was 2.0 mol% then TL intensity decrease due to concentration quenching of Dy3+ ions. The different TL parameters are calculated and listed in Table 2.

Fig. 4
figure 4

a Comparative TL glow curve of Ca2MgSi2O7:Dy3+ phosphors with different Dy3+ concentration. b TL emission spectra of Ca2MgSi2O7:Dy3+ (2 %) phosphor

Table 2 Activation energy (E), shape factor (μg) and frequency factor (s−1) for 10 min UV irradiated Ca2MgSi2O7:Dy3+ phosphors for different Dy3+ concentration

Figure 4b shows the TL emission spectra of Ca2MgSi2O7:Dy3+ (2 %) phosphor. TL emission spectra show a broad peak around 570 nm corresponds to yellow color in the visible region. TL emission spectrum confirms that the single isolated peak due to the formation of only one type of luminescence center.

3.5 Determination of kinetic parameters

Measurement of the TL glow curves is one of the most useful ways to determine the number as well as the activation energy of the trapping levels in materials. The energy corresponding to the glow peak is equal to the trap depth. What has to be emphasized is that traps and carriers (electrons and holes) may be produced by irradiation, but they are also to be created during sample processing. Evaluation of kinetic parameters, i.e. the activation energy (E) of the traps involved in the TL emission, the order of kinetics (b), and the frequency factor (s), associated with the glow peaks of the thermally stimulated luminescence, is one of the most studied subjects in the field of condensed matter physics and a complete description of the thermoluminescent characteristics of a TL material requires to obtain these parameters. There are various methods for evaluating the trapping parameters from TL glow curves. For example, when one of the glow peaks is highly isolated from the others, the experimental method such as peak shape method is a suitable method to determine them from the glow peak. The TL parameters for the prominent glow peaks of prepared phosphor were calculated using the peak shape method are shown in Table 2 [30, 31]. The relationship between the frequency factor‘s’ and the activation energy ‘E’ is given by the Eq. (1)

$$ \frac{\beta E}{{kT_{m}^{2} }} = s\left[ {1 + (b - 1)\frac{{2kT_{m} }}{E}} \right]\exp (E/KT_{\text{m}} ) $$
(1)

where, k is Boltzmann constant, E is activation energy, b is order of kinetics, s is the frequency factor, T m is temperature of peak position, and β is the heating rate. In the present work β = 5 Cs−1. Trap depth for second order kinetics is calculated using the Eq. (2)

$$ E = 2kT_{m} \left( {1.76\frac{{T_{m} }}{\omega } - 1} \right) $$
(2)

where, ω is the total half width intensity \( \omega = \tau + \delta , \) τ is the half width at the low temperature side of the peak (τ = Tm−T1); δ is the half width towards the fall-off side of the glow peak (δ = T2−Tm), Tm is the peak temperature at the maximum TL intensity T1 and T2 are, the temperatures on either side of Tm, corresponding to half intensity. The shape factor (μ g = δ/ω.) is to differentiate between first and second order TL glow peak. (μ g) = 0.39–0.42 for the first order kinetics; (μ g) = 0.49–0.52 for the second order kinetics and (μ g) = 0.43–0.48 for the mixed order of kinetics [32, 33].

TL is an ideal technique in development and characterization of phosphors exhibiting persistence luminescence. Of course, in order to have strong afterglow, it is obvious that the trap density must be high [34]. Moreover another important factor for long lasting phosphors is producing a suitable trap depth within the host. If the trap depth is too low, the electrons in the trap can return to the energy level of the excited state easily, thus resulting in a short afterglow time. On the other hand if the trap depth is too deep the transition probability of electrons in the traps to the excited state is very low. In such a state the after glowing is less intense [35]. In our case, shape factor (μ g) is lies between 0.45 to 0.49, which indicates that it is a case of non-first order kinetics, approaching towards second order, responsible for deeper trap depth.

3.6 Photoluminescence (PL)

In order to study the photo-luminescent properties, the excitation spectra of prepared Ca2MgSi2O7:Dy3+ (2 %) phosphor was recorded and shown in Fig. 5a. The excitation spectra were observed in the range of 200–400 nm and emission spectra was recorded in the range of 400–725 nm. The excitation spectrum in the range of 200–400 nm consists of the f → f transition of the Dy3+ ion. The excitation spectrum of Ca2MgSi2O7:Dy3+ (2 %) phosphor shows strong absorption at 352 nm and less intense absorptions at 248, 288 and 380 nm, which are ascribed to the transitions from the ground state to excitation states in the 4f9 configuration of Dy3+ but not easy to be clearly assigned due to the dense and somewhat overlapped levels of 4f configuration of Dy3+ in the high energy region. When the Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3 mol%) phosphors were excited at 352 nm, simultaneous emissions of blue (475 nm), yellow (577 nm) and red (678) nm position were observed. Notice that the red emission is less intense than the blue and yellow emissions. These three different emission bands originated from the one origin owing to their having the same excitation wavelength. The transitions involved in blue, yellow and red bands of Dy3+ ion are well known and have been identified as 4F9/2 → 6H15/2, 4F9/2 → 6H13/2 and 4F9/2 → 6H11/2 transitions respectively. One can also find that the emission lines of Dy3+ are broadened somewhat because there are several Stark levels for the 4F9/2 → 6HJ levels [36].

Fig. 5
figure 5

a Excitation spectra of Ca2MgSi2O7:Dy3+ phosphor. b Emission spectra of Ca2MgSi2O7:Dy3+ phosphors with different Dy3+ concentration

Figure 5b shows that the emission spectra of Ca2MgSi2O7:Dy3+ phosphors with different Dy3+ concentration. It is well known that the former weak blue emission at 475 nm (4F9/2 → 6H15/2) is corresponded to the magnetic dipole transition, which hardly varies with the crystal field strength around Dy3+. While the later stronger yellow emission at 577 nm (4F9/2 → 6H13/2) belongs to the hypersensitive forced electric dipole transition, which is strongly influenced by the outside surrounding environment [37]. According to the Judd–Ofelt theory [29], when Dy3+ locates at a low symmetry local site (without inversion symmetry), a yellow emission according to the electric dipole transition (4F9/2 → 6H13/2) will be dominant. Conversely, a magnetic dipole transition (4F9/2 → 6H15/2) will predominate in the emission spectra, resulting in a strong blue emission. In our case, the yellow emission (4F9/2 → 6H13/2) will dominate. The strong yellow emission is also beneficial to decrease the color temperature of the phosphor and generate warm white light emission. Moreover, the hardly perceptible transition (4F9/2 → 6H11/2) emission at 678 nm can be observed, which is also due to the disordered crystal field and is corresponding to the structural study. It is notice that the red emission is less intense than the blue and yellow emissions. It is well known that the (4F9/2 → 6H13/2) transition is hypersensitive and therefore, its intensity strongly depends on the host, while the (4F9/2 → 6H15/2) transition is less sensitive to the host. The optical properties of the material are often influenced by the structure of the matrix and synthesis technique [38].

When trivalent metallic ions, such as Dy3+ are incorporated into a host lattice and substitute divalent metallic ions, the charge balancing is necessarily required. Due to these chemically nonequivalent substitutions, an excess of positive charge in the host lattice must be compensated. One possible way of charge compensation mechanism is that two Dy3+ ions replace three Ca2+ ions to balance the charge of these phosphors, which create two \( Dy_{Ca}^{ \cdot } \) positive defects and one \( V_{Ca}^{{\prime \prime }} \) negative defect.

$$ 2Dy^{3 + } + 3Ca^{2 + } \to 2Dy_{Ca}^{ \cdot } + V_{Ca}^{{\prime \prime }} $$
(3)

For Ca2MgSi2O7:Dy3+ the incorporation of alkali metal ions can neutralize the charge generated by Dy3+ substitution for Ca2+, and thus stabilize the structure and enhance the luminescence. Dy3+ ions have been often used as co-dopants in the previously developed aluminate and silicate based materials. When divalent alkaline earth ions, such as Ca2+ or Sr2+ or Ba2+ is substituted by trivalent Dy3+ in the alkaline earth silicates and aluminates, various defects can be induced due to the charge compensation mechanism. However, in Dy3+ singly doped samples, which are in our current interest, Dy3+ is not only the supplier of traps but also an activator itself [16, 17].

A process of emitting the white light in Ca2MgSi2O7:Dy3+ phosphor is illustrated schematically in Fig. 6. After irradiation with the ultraviolet light ([1]), most of the excitation energy associated with the excited carriers (electrons or holes) will be transferred via the host directly to the luminescence centers, Dy3+, followed by the Dy3+ 4f emissions as the immediate luminescence ([39]). However, part of the excitation energy will be stored when some of the excited carriers drop into the traps ([2]), instead of returning to the ground states. Later, with thermal excitation at proper temperature, these carriers will be released from the traps and transferred via the host to the Dy3+ ions, followed by the characteristic Dy3+ emissions as long afterglow ([3]). In the practical system, the electron traps and the hole traps may not be both equally abundant or important in terms of their contribution to the white light emission, as suggested in Fig. 6 [16, 17, 40].

Fig. 6
figure 6

Schematic diagram of the mechanism in Ca2MgSi2O7:Dy3+ phosphor

To investigate the concentration dependent luminescent property of Dy3+ ions doped Ca2MgSi2O7 host, a series of Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3.0 %) phosphors were synthesized and the luminescent properties were measured are shown in Fig. 5b. It can be seen that all the emission spectra are similar regardless of Dy3+ contents. As the concentration x increases, the intensity of Dy3+ emission increases and reaches a maximum at 2 % and then decreases when Dy3+ content further increases due to the concentration quenching effect. Concentration quenching is mainly caused by energy transfer among Dy3+ ions in the host lattice, the probability of which increases as the concentration of Dy3+ increases [41].

3.7 CIE chromaticity coordinate

In general, color of any phosphor material is represented by means of color coordinates. The luminescence color of the samples excited under 352 nm has been characterized by the CIE (Commission International de I’Eclairage) 1931 chromaticity diagram. [42] The emission spectrum of the Ca2MgSi2O7:Dy3+ (2 %) phosphor was converted to the CIE 1931 chromaticity using the photo-luminescent data and the interactive CIE software (CIE coordinate calculator) diagram as shown in Fig. 7.

Fig. 7
figure 7

CIE chromaticity diagram of Ca2MgSi2O7:Dy3+ (2 %) phosphor

Every natural color can be identified by (x, y) coordinates that are disposed inside the ‘chromatic shoe’ representing the saturated colors. [43] Luminescence colors of Ca2MgSi2O7:Dy3+ (2 %) phosphor are placed in the (x = 0.339, y = 0.359), which is represented by the circle symbol [“o”]. The chromatic co-ordinates of the luminescence of this phosphor are measure and reached near to white luminescence. The interaction between Dy3+ ion and host lattice follows the proposed CEI model and emission colors are located between the three extreme points corresponding to the CEI model i.e. near to white light emission could be investigated, which is in the good agreement with the chromaticity coordinates of standard white light (x = 0.333, y = 0.333) [16, 17]. The calculated CIE values of other concentration of Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.5 and 3 mol%) phosphors were listed in Table 3.

Table 3 CCT and CRI calculation of Ca2MgSi2O7:Dy3+ phosphors for different Dy3+ concentration

3.8 Correlated color temperature (CCT)

CCT relates to the color of light produced by a light source, measured in degrees Kelvin. The CCT rating is an indication of how “warm” or “cool” the light source appears. The higher the CCT value, the cooler the lamp color will appear. The lower the number, the warmer the lamp color will appear. However, CCT is only one aspect of color. However, opposite to the temperature scale, lamps with a CCT rating below 3200 K are usually considered ‘‘warm’’ sources, while those with a CCT above 4000 K are usually considered ‘‘cool’’ in appearance. McCamy has proposed the analytical equation to calculate the CCT which is given [44] by

$$ {\text{CCT}} = \, - 449{\text{n}}^{3} + \, 3525{\text{n}}^{2} - \, 6823{\text{n }} + \, 5520.33 $$
(4)

where, n = (x−xe)/(y−ye) is the inverse slope line and (xe = 0.332, ye = 0.186) is the epicenter. Generally, the preferred CCT values range from 4000 to 6500 K but the range from 3500 to 7500 K may also be accepted. The calculated CCT values of prepare Ca2MgSi2O7:Dy3+ (2 %) phosphor is 5250 K, which is well under the acceptable ranged and can be considered ‘‘cool’’ in appearance. The calculated CCT values of other concentration of Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.5 and 3 mol%) is listed in Table 3. It can be seen that the value of CCT varies from 5288 to 5442 K, which is well under the acceptable ranged and can be considered ‘‘cool’’ in appearance [45].

3.9 Color rendering index (CRI)

The CRI, sometimes called color rendition index, is a quantitative measurement of the ability of a light source to reveal the colors of various objects faithfully in comparison with an ideal or natural light source. The ability of any given light source to represent colors in objects is its CRI. It is based on a relative measurement which will rate light sources on a scale of 0–100 [41, 42]. The higher the CRI, the more natural the colors appear. A higher CRI means better color rendering, or less color shift. CRIs in the range of 75–100 are considered excellent, while 65–75 are good. The range of 55–65 is fair, and 0–55 is poor [46]. The values of CRI were also calculated in our experiment. The calculated CRI of prepare Ca2MgSi2O7:Dy3+ (2 %) phosphor is 66.07, which is again in the preferable range. The values of CRI were also calculated and listed in Table 3. CRI of different samples varies from 65.48 to 65.85, which is again well under the preferable range.

3.10 Long afterglow (decay)

Figure 8 shows the typical decay curves of Ca2MgSi2O7:Dy3+ (2 %) phosphor. The initial afterglow intensity of the sample was high. The decay times of phosphor can be calculated by a curve fitting technique, and the decay curves fitted by the sum of two exponential components have different decay times [47].

Fig. 8
figure 8

Decay curve of Ca2MgSi2O7:Dy3+ (2 %) phosphor

$$ {\text{I}} = {\text{A}}_{1} \exp \left( { - {\text{t/}}\uptau_{1} } \right) + {\text{A}}_{2} \exp \left( { - {\text{t/}}\uptau_{2} } \right) $$
(5)

where, I is phosphorescence intensity, A1, A2 are constants, t is time, τ1 and τ2 are decay times (in second) for the exponential components. Decay curves are successfully fitted by the Eq. (5) and the fitting curve result are shown in Table 4. The results indicated that the, afterglow decay curves are composed of two regimes, i.e., the initial rapid decaying process and the subsequent slow decaying process.

Table 4 Fitting results of the decay curves

Dy3+ is an important rare earth ion in the development of phosphors with long lasting afterglow, playing a crucial role. The dopant Dy3+ is a famous trap creating ion, which can greatly prolong the afterglow. It is reasonable to consider that the role of doping Dy3+ ions is to introduce new types of traps or significantly increase the concentration of traps responsible for the afterglow [48]. The afterglow intensity of the persistent phosphor depends on the densities of the traps electrons, while the duration of afterglow depends on the depth of the trapped electrons. The number of trapped charge carrier, in term, depends on the concentration of oxygen vacancies/Dy3+ and the trap depth of it. For a suitable trap depth, the trap concentration is directly depends on the dysprosium ions [49] (Table 5).

Table 5 Calculation of ML decay constant for Ca2MgSi2O7:Dy3+ (2 %) phosphor

3.11 Mechanoluminecsnce (ML)

Mechanoluminescence (ML) (also known as Triboluminescence) is an important physical phenomenon where an emission of light is observed due to mechanical deformation of materials, when they are subjected to some mechanical stress like rubbing, cleavage, compressing, impulsive deformation, crushing, grinding, shaking etc. This phenomenon has been observed in many kinds of solids including ionic crystals, semiconductors, metals, glasses and organic crystals [50, 51]. In the present ML studies, an impulsive deformation technique has been used. When a moving piston (load) is applied on to the phosphor, initially the ML intensity increases with time, attains a peak value and then it decreases with time. Such a curve between the ML intensity and deformation time of a solid is known as the ML glow curve. During the deformation of a solid, a great number of physical processes may occur within very short time intervals, which may excite or stimulate the process of photon emission [52].

Figure 9 shows that the characteristics curve between ML intensity versus time for different heights (h = 10, 20, 30, 40, 50 cm). The phosphor was fracture via dropping a load [moving piston] of particular mass (400 g) and cylindrical shape on the Ca2MgSi2O7:Dy3+ (2 %) phosphor. The velocity of the moving piston, holding the impact mass, could be changed, by changing the height through which it was dropped. Every time for the ML measurement, the quantity of Ca2MgSi2O7:Dy3+ (2 %) phosphor was kept constant (8 mg). When prepared Ca2MgSi2O7:Dy3+ (2 %) phosphor was fractured, free electrons and holes are generated, which may excite or stimulate the process of light emission. In these ML experiment, the maximum ML intensity has been obtained for the 50 cm dropping height of moving piston. The prepared Ca2MgSi2O7:Dy3+ (2 %) phosphor was not irradiated by any excitation source such as Ultra-Violet, Laser, X-ray, β-rays or γ-rays. From Fig. 9 it can be seen that the linearly increase of compressive height can induce the increase of ML intensity. That is, the ML intensity of Ca2MgSi2O7:Dy3+ (2 %) phosphor was linearly proportional to the magnitude of the impact velocity of moving piston.

Fig. 9
figure 9

ML intensity versus time of Ca2MgSi2O7:Dy3+ (2 %) phosphor (Inset—ML intensity vs. impact velocity of Ca2MgSi2O7:Dy3+ (2 %) phosphor)

Figure 9 (inset) shows the curve of the ML intensity of Ca2MgSi2O7:Dy3+ (2 %) phosphor for different impact velocities. It is seen that, ML intensity increases linearly with increasing impact velocity [\( \upsilon_{0} = \sqrt {2gh} \) (where, g is the acceleration due to gravity and h is the height through which the load was dropped)] of the moving piston. The ML intensity of Ca2MgSi2O7:Dy3+ (2 %) phosphor increases with increasing the mechanical stress [53]. Figure 10 comparative ML intensity versus time of Ca2MgSi2O7:Dy3+ phosphors with different Dy3+ concentration for 50 cm height. It is seen that ML intensity increase with increasing concentration of Dy3+ ions. It reaches optimum intensity when concentration of Dy3+ was 2.0 mol%, then ML intensity decrease due to concentration quenching of Dy3+ ions.

Fig. 10
figure 10

Comparative ML intensity versus time of Ca2MgSi2O7:Dy3+ phosphors with different Dy3+ concentration for 50 cm height

When the load or piston makes an impact on the crystal with an initial velocity v0, the former decelerates and after a particular time its velocity becomes zero. The time dependence of the velocity of the piston may be written as

$$ v = v_{0} \exp \left( { - \beta v_{o} t} \right) $$
(6)

where β is a constant, Eq. (6) can be written as

$$ \frac{dx}{dt} = v_{0} \exp \left( { - \beta v_{o} t} \right) $$
(7)

where dx is the compression of the crystal during the time interval dt.

Integrating Eq. (7), we have

$$ x = \frac{1}{\beta }\exp \left( { - \beta v_{o} t} \right) + C $$
(8)

x = 0 for t = 0, therefore, Eq. (8) may be written as

$$ x = \frac{1}{\beta }\left[ {1 - \exp \left( { - \beta v_{o} t} \right)} \right] $$
(9)

The phosphor is in powder form and the impact velocities compress it to a certain extent, but this does not change significantly with increasing impact velocity. Equation (9) shows that impact time remains mostly unchanged with increasing impact velocity because there is no significant change in compression, which is expressed by ‘x’ in Eq. (8). This may be one possible reason why the time that corresponds to the peak ML intensity does not change significantly with increasing impact velocity [54]. Figure 11 shows the time corresponds to ML signal peak with impact velocity of Ca2MgSi2O7:Dy3+ (2 %) phosphor.

Fig. 11
figure 11

Time corresponds to ML signal peak with impact velocity of Ca2MgSi2O7:Dy3+ (2 %) phosphor

The relationship between semi-log plot of ML intensity versus (t−tm) for Ca2MgSi2O7:Dy3+ (2 %) phosphor was shown in Fig. 12, and the lines were fitted using the following Eq. (10) with Origin Pro 8.0

Fig. 12
figure 12

Semi-log plot of ML intensity versus (t−tm) for Ca2MgSi2O7:Dy3+ (2 %) phosphor

$$ \tau = \frac{1}{slop\,of\,straight\,line} $$
(10)

Curve fitting results show that decay constant (τ) varies from 0.80 to 0.90 ms. The ML decay constant value was increases with the impact velocities, and maximum for the maximum impact velocities.

When a mechanical stress, such as compress, friction, and striking, and so on, was applied on the sintered phosphors, piezo-electric field can be produced. Previous researches have revealed that the prepared Ca2MgSi2O7:Dy3+ (2 %) phosphor has a tetragonal structure with space group \( {\text{P}}\overline{ 4 2}_{1} {\text{m}} \) , possesses piezo-electrification. Therefore, in such crystallites the ML excitation may be caused by the local piezoelectric field near the impurities and defects in the crystals. During the impact of the sample, one of its newly created surfaces gets positively charged and the other surface of the crack gets negatively charged [Fig. 13 Langevin model]. Thus, an intense electric field of the order of 106–107 Volt cm−1 is produced. [55] Under such order of electric field, the ejected electrons from the negatively charged surface may be accelerated and subsequently their impact on the positively charged surfaces may excite the luminescence center. Thus, depending on the prevailing conditions, recombination luminescence may be produced. For the impact velocity υ0, the impact pressure P0 will be equals to, P0 = Zυ0, where Z is a constant. As the impact velocity increases, the impact pressure also increases leading to the increase in the electric field at local region which causes the decrease in trap depth. Hence the probability of de-trapping increases. Thus, the ML intensity will increase linearly with increasing value of impact velocity (υ0).

Fig. 13
figure 13

Langevin model for the piezo-electrification induce phosphor

As the impact velocity increases, the impact pressure also increases leading to the increase in the electric field at local region which causes the decrease in trap depth. Hence the probability of de-trapping increases. From Fig. 9 (inset), it can be seen that with increasing impact velocity, ML intensity also increases linearly i.e., the ML intensity of Ca2MgSi2O7:Dy3+ (2 %) phosphor was lineally proportional to the magnitude of the impact velocity. When the surface of an object was coated with the ML materials, the stress distribution in the object beneath the layer could be reflected by the ML brightness and could be observed. Based on the above analysis these phosphors can also be used as sensors to detect the stress of an object [5660].

4 Conclusion

In summary, a new potential dysprosium doped white light emitting di-calcium magnesium di-silicate (Ca2MgSi2O7:Dy3+) phosphors with different concentration of Dy3+ (1.0, 1.5, 2.0, 2.5 and 3 mol%) were successfully synthesized by the solid state reaction method. The crystal structure of the sintered Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3 mol%) phosphors were consistent with standard tetragonal crystallography. The EDS spectra confirm the chemical composition of Ca2MgSi2O7:Dy3+ (2 %) phosphor. TL, PL and ML intensity increases with increasing concentration of Dy3+ ions. It reaches optimum intensity when concentration of Dy3+ ions was 2.0 mol%, then TL, PL and ML intensity decrease due to concentration quenching of Dy3+ ions. Under the ultra-violet excitation, the prepared Ca2MgSi2O7:xDy3+ (x = 1.0, 1.5, 2.0, 2.5 and 3 mol%) phosphors would emit blue, yellow and red light with peak at 475 nm, 577 nm and 678 nm corresponds to the transitions of 4F9/2 → 6H15/2, 4F9/2 → 6H13/2 and 4F9/2 → 6H11/2 respectively. PL emission of all the phosphors exhibited white light for human eyes which was confirmed from the calculated CIE coordinates. The ML intensity of Ca2MgSi2O7:Dy3+ (2 %) phosphor strongly depends on the impact velocity of the moving piston which is used to deform the sample and a linear relationship between the ML intensity and impact velocity exists. Based on the above analysis this phosphor can also be used as sensors to detect the stress of an object.