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Thermosphere

The thermosphere begins about 80 km above the and ranges up to the at 500 km . The layer is also called the , satellite orbits are located in the medium to upper range of the thermosphere . Mass and Composition

Most of the gas mass in the (80%) is concentrated within the . The mass of the thermosphere above about 85 km is only 0.002% of the total mass. No mixing and no significant physical feedback from the thermosphere to the lower atmospheric regions is expected.

The composition of the thermosphere changes from predominantly N2 and O2 to atomic O, atomic N; remnant gas particles collide so infrequently that the gases become somewhat separated based on the types of chemical elements they contain. Energetic and X-ray photons from the Sun break apart molecules in the thermosphere. Towards the upper thermosphere, ionized gas components as well as H and He become the main components . Composition of Thermosphere

Variation of particle density, composition and ionization level with altitude in thermosphere.

Rapid decline of H2O content, slow decline of molecular components with increase in the fraction of atomic and ionic components. Tidal winds and electric currents Winds and the overall circulation in the thermosphere are largely driven by tides and waves. Moving ions, dragged along by collisions with the electrically neutral gases, produce powerful electrical currents in some parts of the thermosphere.

Two kinds of tidal waves, one driven by solar radiation impact (moves westwards) and the second influenced by radiation impact from earth with strong longitudinal variances. Thermosphere temperatures increase with height due to absorption of highly energetic solar radiation by the small amount of residual oxygen still present at high . Temperatures are highly dependent on solar activity, and rise up to 1,500 °C to 2,500 °C during the day. The temperature increase and the temperature level depends on the incoming flux of solar radiation.

d Q V dT dF   C   F  1 F ez dt P dt dz abs 0 dT  C     F  ez    F   n  F P dt 0 N dT   N  F n    A  A The temperature change goes linearly with the flux! A dt ACP part W 1020cm 2 6.022 1023 1370 dT   N  F 2  A  mole m dt AC g J P 29 1.005 mole kg K part J 1016m2 6.022 1023 1370 dT 2 K  mole s  m  2.84 105 J dt 29.07 103 s mole  K dT K K  2.84 105  80  T  960K temperature increase in 12h dt s h This is comparable to the observed day and night variation of the thermosphere temperature of T ≈ 1000K. For this we adopted a rather arbitrary average absorption cross section of 10,000 barn. This indeed depends very critical on the wavelength of the incoming radiation due to the variety of excitation and ionization processes in a specific atmospheric layer. Also neglected are potentially remaining cooling processes that might compensate the heating. The Ionosphere

upper range of thermosphere

Ionosphere reflector of long range radio waves. Earth’s ionosphere ~200-600km This range of the upper atmosphere is characterized by ionization effects of incoming high energy cosmic radiation from UV light to x rays from the sun! This generates a large flux of free high energetic electrons which can cause secondary ionization and dissociation effects on high altitude gases and molecules.

  O2  h   102.6nm  O2  e   N2  h   79.6nm  N2  e O  h   91.0nm  O  e N  h   85.2nm  N   e NO  h   134.1nm  NO  e

UV < 150 nm Network of ionization processes

Y (Ion)  F  ndz cr  z The conversion rate of molecules to atoms and atoms to ions depends on the cosmic

radiation flux Fcr, the cross section for the break-up or ionization processes  (mostly inelastic scattering) and the particle density n. Level schemes

Energy levels for different Energy levels for different orbital main quantum numbers n momentum quantum numbers ℓ

ℓ=0 =1 =2 =3 =4

Transition selection rules: ℓ=+/-1 m=0, +/-1

The Oxygen ionization energy Electron transitions and photon emission in a multi-electron atomic system depends on the charge number Z and the shielding

Sn of the attractive nuclear potential by inner orbit electrons!

2 13.6 2 13.6 Energy of electron on orbit n: En   Z  Sn     Z 1  n2 n2

2 13.6 2 13.6 Ionization energy for electron En  En  Z 1  2  Z 1  2 from orbit n : n   1  hc E  Z 12 13.6  E  666eV  n  2  n1  n  K hc absorbed light with wavelength: 9 K  1.8610 m 1.86nm E

Energetic x-ray wavelengths generated by solar radiation  1  E  Z 1 2 13.6 eV 1  K      2  n=3  ni  O : Z  8

2  1  Kβ Lα EK  7 13.6eV 1   499.8eV    2.48nm   4 

2  1  E  7 13.6eV 1   592.4eV    2.09nm K 9   n=2  1 1  E  Z 1 2 13.6 eV    K L      2 2  α  2 ni 

2  1 1  EL  7 13.6eV     92.6eV    13.4nm   4 9  n=1

High energy radiation is absorbed by excitation and ionization processes of atomic gases in the upper atmosphere range! The light is emitted by recombination and de-excitation processes! Oxygen atoms and molecules are excited by interaction with cosmic ray flux, de-excitation of excited oxygen is caused by collisions with nitrogen molecules in lower altitudes causing the emission of characteristic green light! Gerhard Riessbeck Borealis (Australis) effect Aurora occurs at time of high cosmic ray flux from the sun. Charged particles are funneled by the earth magnetic field and interact with atmospheric gases, causing excitation and de-excitation under the emission of characteristic light in approximately 80 to 250 km altitude. Also involved are recombination effects of free electrons with ions and charged molecules. Dominant emission wavelengths: • 557.7 nm green line from O • 630.0 nm red line from O • 636.3 nm red line from O

• UV light from N2 molecule

At high altitude (z>150km) excitation takes place through interaction with cosmic radiation followed by de-excitation of molecular scattering causing red light. At lower altitudes molecular scattering dominates excitation and de-excitation, triggering green light emission. Configuration Term J Level cm−1 1s2 2s2 2p4 3P 2 0.000 1 158.265 630 nm 0 226.977 1s2 2s2 2p4 1D 1D 2 15867.86 558 nm 1s2 2s2 2p4 1S 0 33792.58

1s2 2s2 2p3(4S)3s 5S 2 73768.20

Only a few transitions possible in few electron system with each quantum state defined by an electron positioned in an orbital around the nuclear core of atom Multiple transitions possible because of the increased complexity of the quantum configurations, including electron orbitals, vibrational motion, and rotational modes. Futzing around with the ionosphere

Aurora light induced by high altitude nuclear missile tests in the 1960ies

Exosphere

The theoretical top boundary of the exosphere is the point at which the solar particle flux is not influenced anymore by the Earth’s gravitational pull on the atmospheric particles. This has been detected to about 190,000 km from the surface of the Earth. Empirically, 10,000 km is considered the official boundary between the Earth’s atmosphere and interplanetary space. Exosphere temperature

Exosphere is nearly absolute , the remaining particles move with high velocity. Temperature is defined in terms of kinetic energy or velocity:

1 mv2 E  k T  mv2 T  2 2k k 1.381023 m2kg s2 K 1 for 16O with v  5500 m / s (half escape velocity: 11000 m/s) 161.661027 kg 3107 m / s2 T   29110 K 21.381023 m2kg s2 K 1

Lower mass particle at same temperature have higher velocity and escape easier.

2k T 2.761023 29110 v(H )    22000m / s twice the escape velocity m(H ) 1.661027

2k T 2.761023 29110 v(He)   11000m / s escape velocity m(He) 41.661027 Exosphere densities 1 The mean free path l   2    of a gas particle in the (lower range of the) exosphere is equal to the scale height.

J 8.314 29110 K 1 1 R T l    H   mole K 1.55106 m 1550km lf  n m g kg m 2 0.016 9.81 mole s2

 H  n 1  is the scattering cross section

Energetic particles therefore can escape easily into with a 50% escape chance. Below observed escape for Titan and Saturn. No escape velocity – – falling back to Earth

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