Keywords

1 Introduction

Energetic particle precipitation (EPP) plays an important role in changing the chemical composition of the Earth’s atmosphere [1,2,3]. Particles emitted by the Sun in the form of the solar wind (SW) reach the Earth's magnetosphere, accelerate to high energies and reach the dense layers of the atmosphere, triggering chains of chemical reactions that lead to a change in the chemical composition of the atmosphere, especially during the polar winter periods, when the effect of solar radiation is minimal and vertical transport of the resulting chemically active species is possible. Thus, considering these periods, the effects associated with EPP can be observed.

It is known that EPP leads to ionization of the atmosphere [3,4,5,6]. EPP events can be very different due to many factors: the cause of occurrence (that is, considering the cause of precipitation, for example, a solar proton event, a coronal hole, etc.); the energy spectrum; the energetic particles reference to solar activity; the geographic location of the impact on the atmosphere (i.e., the location of the precipitation).

Energetic particles such as electrons, protons, alpha particles and other heavier elements (quite rare) are ejected from the surface of the Sun. While high-energy protons can reach the polar regions, where the magnetic field is weakened, electrons, in order to precipitate into the atmosphere, need some acceleration, which is obtained in the magnetosphere. In this paper, we study the effect of EEP (energetic electron precipitation) on the Earth’s atmosphere, since electron precipitation occurs regularly, and intense proton events are rather rare phenomena [7]. In this regard, it is the precipitation of magnetospheric electrons that has the most significant impact on the chemistry of the atmosphere in the long term.

Let us consider the main chemical compounds and reactions occurring after the precipitation of energetic particles. Ionization of neutral molecules by energetic particles leads to the activation of a chain of complex ionic reactions, which eventually produce such important products for atmospheric chemistry as nitrogen and hydrogen oxides [1, 2].

The so-called odd hydrogen group (or family of hydrogen-containing radicals) HOx includes the following components: hydrogen, hydroxyl, and hydroperoxide [1, 2]:

$$\text{HO}_{x}=\text{H}+\text{OH}+\text{HO}_{2}$$
(1)

The lifetime of such radicals is short (minutes) [4]. It is directly proportional to the mass density of the substance, also it is a measure of the time required for the mass density of a compound to decrease by a fraction of e (2.718) if there are no sources. Interacting with mesospheric ozone, HOx radicals participate in fast chains of chemical reactions at altitudes between 60 and 80 km (D-region of the Earth's ionosphere) [1, 2, 8].

However, there is more long-lived chemical family, such as NOy:

$$\text{NO}_{y}= \text{NO} + \text{NO}_{2}+\text{HNO}_{3}+\text{HNO}_{4}+\text{ClNO}_{3}+\text{N}_{2}\text{O}_{5}+\text{N}+\text{NO}_{3}$$
(2)

Since NOy exist longer (hours and months under polar night conditions) [4], these species are subject to movement by air currents, so the effects of the NOy family exposure can be detected far from the zone of direct ionization and NOy production.

The depletion of the Earth's ozone layer is known to be affected by precipitation of energetic particles, especially during the polar winter, as described previously. The destruction of ozone in the mesosphere occurs in catalytic cycles. The components of the HOx and NOy families are involved in chains of fast reactions leading to the destruction of mesospheric ozone [1,2,3]:

$$\text{OH}+\text{O}_{3}\to \text{HO}_{2}+\text{O}_{2}$$
(3)
$$\text{HO}_{2}+\text{O}\to \text{OH}+\text{O}_{2}$$
(4)

Net:

$$\text{O}+\text{O}_{3}\to \text{O}_{2}+\text{O}_{2}$$
(5)
$$\text{NO}+\text{O}_{3}\to \text{NO}_{2}+\text{O}_{2}$$
(6)
$$\text{NO}_{2}+\text{O}\to \text{NO}+\text{O}_{2}$$
(7)

Net:

$$\text{O}+\text{O}_{3}\to \text{O}_{2}+\text{O}_{2}$$
(8)

These chemical reactions lead to ozone depletion and can change atmospheric temperature [1, 2]. These are the two most important EPP-related cycles of ozone destruction, the so-called hydrogen and nitrogen catalytic cycles [9].

Ozone absorbs ultraviolet solar radiation and is involved in the long-wave radiation transfer. All changes in the chemical composition of the atmosphere lead to heating and cooling, and ozone losses during periods of strong magnetic storms and solar proton events can reach 40–50% in the upper stratosphere and 80–90% in the mesosphere [1, 2]. The main purpose of this work is to study the precipitation of energetic electrons and their impact on the Earth's polar atmosphere based on two versions of one-dimensional models and compare the results obtained.

Here we study the response of the atmosphere to precipitation of energetic electrons in the high-latitude atmosphere using two versions of the one-dimensional radiative-convective model of the atmosphere with interactive neutral and ion chemistry [11] and obtain information on the response of the atmosphere to precipitation of energetic electrons over Apatity (67.57N, 33.56E, McIlwain parameter L = 5.3), where numerous balloon observations were made [10, 12].

2 Model Description

In this work, we used a one-dimensional radiative-convective model with interactive neutral and ionic chemistry [13]. Two versions of the model were used (with parameterized and full ion chemistry). Both models cover a range of heights from 21 to 92 km above the Earth's surface in the study area. We consider changes in the chemical composition of the atmosphere after EEP.

2.1 Parameterized Model

Energetic electrons, protons and the secondary electrons formed by them ionize neutrals which leads to the formation of odd hydrogen HOx and odd nitrogen NOy. In the mesosphere, observation of these groups provides an indication of ozone depletion.

NOy is formed after the collision of the above energetic particles with neutrals and appearance of ionized species.

$${P}(\text{N}_{2}^{+})\to 0.585Q$$
(9)
$$P(\text{N}^{+})\to 0.185Q$$
(10)
$$P(\text{O}_{2}^{+})\to 0.154Q$$
(11)
$$P\left(\text{O}^{+}\right)\to 0.076Q,$$
(12)

where P is production and Q is ionization rate. Finally, ~ 1.25 N molecules per ion pair [14, 15] are formed:

Further calculations use the following ratios. The ion pair accounts for:

  •  ~ 0.7 molecules of excited nitrogen N(2D), which instantly reacts with neutral oxygen and gives NO:

    $$\text{N(}^{2}\text{D)} + \text{O}_{2} \to \text{NO} + \text{O}$$
    (13)
  •  ~ 0.55 molecules of NO2

The formation of HOx is due to complex ionic chemistry. In this version we use the parameterization of HOx production as a function of the altitude and ionization rate [16]. On average one ion pair produces one H atom and one OH (but this ratio changes with height).

2.2 Ion Chemistry Model

This model version can treat neutral and ion chemistry, including 43 neutral radicals and 57 negatively and positively charged ions [11, 15,16,17]. In addition to NOy and HOx formation in the parameterized version many other neutrals from hydrogen, nitrogen and halogen groups can be formed. For example, nitric acid (HNO3) can be produced via following reactions:

$$\text{NO}_{2}+\text{OH}+M \to \text{HNO}_{3}+M$$
(14)
$$\text{H}^{+}(\text{H}_{2}\text{O}{)}_{n}+\text{NO}_{3}(\text{HNO}_{3}{)}_{m} \to (m+1)(\text{HNO}_{3})+n(\text{H}_{2}\text{O})$$
(15)
$$\text{N}_{2}\text{O}_{5}+\text{H}^{+}(\text{H}_{2}\text{O}{)}_{n} \to 2\text{HNO}_{3}+(n-1)(\text{H}_{2}\text{O})$$
(16)

The number of produced NOy and HOx molecules is not fixed, as it was in the parameterized scheme, since additional chemical reactions are now taken into account.

3 Results

To study the effect of EEP on the chemical composition of the atmosphere, we chose one of the EEP events (registered during balloon observations) that occurred on March 7, 2005 (the serial number of the day in the year is 66; DOY = 66, “day of the year” is abbreviated as “DOY”). On this day, a relatively strong geomagnetic disturbance was observed with values ​​of the Kp index of about 6. According to the database [18], the value of the Dst index reached −50 nT, the solar wind velocity fluctuated between 600 and 700 km/s, and the Bz component of the interplanetary magnetic field rapidly oscillated between −5.4 and 3.0 nT (Fig. 1).

Fig. 1
4 line graphs titled geomagnetic disturbance indices since 64 D O Y 2005. They plot B z, S W S, K p, and D s t versus D O Y. All graphs exhibit a fluctuating trend.

Bz, SWS and geomagnetic disturbance indices during 5–11 March of 2005. Kp index values are multiplied by 10

The ionization rate for investigated period was calculated considering the spectra obtained from the database prepared by the Lebedev Institute of Physics team [10]. The description of the response functions and the basis for calculating the ionization rates are presented in [4,5,6]. The ionization rate altitude profile is shown at Fig. 2. The graph shows that the production of ion pairs increases with the altitude. The ionization rates represented are in ion pairs per second (ip/s, x-axis).

Fig. 2
A line graph of altitude versus I R at D O Y 66. The line increases exponentially at first and then rises gradually.

Altitudinal profile of ionization rate at DOY 66

Let’s consider what happens in the atmosphere the day before the event, during the event we are considering, and after it. The results of the atmospheric response to EEP for NOy and HOx are shown in Fig. 3. Further we consider 63 km and 79 km levels because ionization rates at these levels differ one from another greatly.

Fig. 3
4 line graphs titled N O y and H O x since 65 to 69 D O Y, ionized is applied at 66 D O Y. They plot altitude versus N O y and H O x. All graphs have upward lines for 65 noon and midnight, 66 noon and midnight I R applied, 67 noon and midnight, and 68 noon and midnight.

The content of NOy and HOx in the atmosphere at different moments from 65 to 68 days (from March 6 to March 10, 2005). Ionization from the event was applied from noon on day 66 to noon on day 67. The two right panels are indicated to distinguish between the lines shown on the two left panels. The ‘vmr’ unit is the volume mixing ratio

NOy is a longer-lived chemical compound comparing to HOx. The lifetime and amount of molecules of a particular chemical compound is affected by the time during which the event occurs and is considered. Since there is a certain amount of solar radiation penetrating the atmosphere at noon (March 7—the polar night is coming to an end), the total content of NOy and HOx decreases by noon and increases by midnight. On Fig. 3, midday data are indicated by dashed lines with a short stroke, midnight data by dashed lines with a long stroke. The two panels on the left are a complete vertical profile for NOy and HOx, and the two panels on the right (one below the other) are presented for a more accurate consideration of the content of certain chemical compounds.

One day before the event, the amount of NOy (left and right upper panels) is slightly higher during the day than at night. After the event, this gap becomes larger, more noticeable—from 10.6 ppbv during the day to 11.4 ppbv at night. Then, the difference in the content of NOy during the day and at night gradually decreases after the ionization is turned off—pairs of blue and purple lines clearly indicate this.

As mentioned above, HOx life time is shorter than NOy. The total HOx content increases by several tenths of a ppb by midnight. The presence of ionization leads to an increase in the total content of HOx in the atmosphere: we see that groups of day and night lines go to increase the content of HOx. But since the lifetime of HOx is short, we do not see the same difference between daytime and nighttime data as for NOy: noon-midnight line pairs do not follow one another.

In addition, this graph reflects information about the content of NOy and HOx depending on altitude: with increasing altitude, the volume fraction of HOx increases, since with increasing altitude, the effect of ionization by energetic particles increases; the NOy volume fraction reaches minimal values at approximately 70 km level. HOx has a longer diurnal cycle than NOy due to its shorter lifetime, and therefore the EEP signal here is much less pronounced in time.

According to the catalytic ozone depletion cycles described, ozone depletion is caused by an increase in HOx and NOy. The relative change in some physical quantity is calculated according to the formula:

$$\Delta =\frac{experiment - reference}{reference}\cdot 100\%$$
(17)

In our case, experiment is the case with introduced ionization (energetic electrons are the source), reference is the case without introducing perturbing ionization. The results obtained by modeling at 79 km are presented as Fig. 4.

Fig. 4
3 line graphs. The first 2 graphs plot values in volume mixing ratio and the last graph plot the values in percentage against day since 63 for N O y, H O x, and O 3, respectively. All graphs have lines for ion chemistry and parametrization and are flat at first at the bottom, middle, and top, respectively. They then rise and fluctuate and again almost flat at the end, respectively.

Effect of precipitation of energetic electrons on NOy, HOx and O3 at the altitude of 79 km. Time from DOY 63, ionization is applied at DOY 66, that is, from day 3 on the charts

Here we clearly see the result of the catalytic cycles. After the event on day 66, there is an increase in HOx during the daytime, during the night HOx increases by 20 ppb, which in turn leads to ozone depletion by 20%. The ozone depletion during the daytime begins on the 3rd day. Thus, the precipitation of energetic electrons led to the depletion of the ozone content at 79 km level by 20% compared to the undisturbed conditions in the high-latitude zone. In addition, although the reactions associated with HOx are fast, as stated; so, we see ozone depletion the next day as the NOy-related catalytic cycles are already in operation. We see some discrepancy between model versions in the simulation of the NOy behavior at an altitude of 79 km. The parameterized ion chemistry substantially overestimates NOy production. However, because of small effects from NOy at these altitudes the differences in atmospheric ozone response do not exceed 5%. How ozone depletion occurs at other altitudes is shown in Fig. 5 (63 km).

Fig. 5
3 line graphs. Graphs 1 and 2 plot values in volume mixing ratio and graph 3 plot the values in percentage against day since 63 for N O y, H O x, and O 3, respectively. Each graph has 2 lines that are flat at first at the bottom, bottom, and top, respectively. They then rise, rise and peak, and V-shaped dip and they become almost flat at the end, respectively.

Influence of precipitation of energetic electrons on NOy, HOx and O3 at a height of 63 km. Time from DOY 63, ionization is applied at DOY 66, that is, from day 3 on the charts

We observe that the total content of HOx and NOy changes are lower than at an altitude of 79 km. It happened because of lower ionization rate values for 63 km (see Fig. 2). From this follows a small change in the ozone content: depletion of only a fraction of a percent. However, at these altitudes, both model versions work similarly unlike at upper mesospheric levels.

The ozone response at lower altitudes is not reproduced by 1-D model because the absence of vertical advective transport prevents downward propagation of the enhanced NOy in the lower thermosphere and mesosphere.

4 Conclusions

In this work, the chemical composition of the atmosphere in the region above Apatity was studied using ionization rates obtained from balloon measurements. To study the impact of energetic electron precipitation on the Earth's high-latitude atmosphere, we used two versions of a one-dimensional radiative-convective-photochemical model with parameterized and complete ion chemistry. One of the goals was also to compare the results obtained by both versions of the model.

For further analysis, we chose an event that occurred on March 7, 2005 (DOY 66), when the geomagnetic situation was disturbed (see Fig. 1). For this case the model with complete ion chemistry generates the same amount of HOx but substantially less NOy in the upper mesosphere, while in the lower mesosphere the results are very similar. The ozone depletion is the same in both cases because it is driven mostly by hydrogen radicals.