The theoretical methods for calculation of charge‐exchange cross sections of Gurnee and Magee [J. Chem. Phys. 26, 1237 (1957)] have been applied to the reactions of H atoms with H+, O+, and N+. The agreement with experiment [Fite, et al., Phys. Rev. 119, 663 (1960); Hummer, et al., Phys. Rev. 119, 668 (1960)] is excellent considering the approximations involved in the theory.

Topics
Charge exchange reactions
1.
E. F.
 
Gurnee
 and
J. L.
 
Magee
,
J. Chem. Phys.
 
26
,
1237
(
1957
).
Crossref
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The reactions producing oxygen atoms in the P2, P1, and P0 states are 0.019 ev, 0.001 ev, and −0.009 ev exoenergetic, respectively.
2.
The ionization potentials of H, O (⁠P2⁠), O(⁠P1⁠), O(⁠P0⁠), and N are 13.595, 13.614, 13.596, 13,586, and 14.54 ev, respectively (Atomic Energy Levels, 1952 Circular 467, Natl. Bur. Standards).
3.
S. N. Ghosh, W. F. Sheridan, J. A. Dillon, Jr., and H. D. Edwards, A Review of Charge Transfer Processes in Gases, Geophysics Research Paper No. 48 (Air Force Cambridge Research Center, Bedford, Massachusetts, July 1955).
4.
W. L.
Fite
,
R. F.
Stebbings
,
D. G.
Hummer
, and
R. T.
Brackmann
,
Phys. Rev.
119
,
663
(
1960
).
Crossref
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5.
D. G.
Hummer
,
R. F.
Stebbings
,
W. L.
Fite
, and
L. M.
Branscomb
,
Phys. Rev.
119
,
668
(
1960
).
Crossref
Search ADS
 
6.
In colloquial language, when the collision is direct the electron does not “know” which proton it originally belonged to and ends up with equal probability on either proton.
7.
A.
Dalgarno
 and
H. N.
Yadav
,
Proc. Phys. Soc. (London)
A66
,
173
(
1953
).
8.
D. R.
Bates
 and
A.
Dalgarno
,
Proc. Phys. Soc. (London)
A66
,
972
(
1953
).
9.
J. D.
Jackson
 and
H.
Schiff
,
Phys. Rev.
89
,
359
(
1953
).
Crossref
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10.
H. C.
Brinkman
 and
H. A.
Kramers
,
Proc. Acad. Sci. Amsterdam
33
,
973
(
1930
).
11.
I.
Popescu Iovitsu
 and
N.
Ionescu‐Pallas
,
Soviet Phys. (Tech. Phys.)
4
,
781
(January
1960
).
12.
I. K.
Fetisov
 and
O. B.
Firsov
,
Soviet Phys. JETP
37
,
67
(
1960
).
13.
O. B.
Firsov
,
Soviet Phys. JETP
21
,
1001
(
1951
).
14.
L. Pauling and E. B. Wilson, Jr., Introduction to Quantum Mechanics (McGraw‐Hill Book Company, Inc., New York, 1935), pp. 326–330.
15.
Footnote reference 14, pp. 314–325.
16.
L. I. Schiff, Quantum Mechanics (McGraw‐Hill Book Company, Inc., New York, 1955), pp. 236–239.
17.
Footnote reference 14, pp. 138–139.
18.
At low velocities, the production of oxygen atoms with various total angular momenta, having zero angular momenta about the O—H axis, splits the calculated cross‐section curves as shown in Fig. 4. This is due to the different ionization potentials of the P2, P1, and P0 states. In this case one should multiply the calculated cross section for each state by 1/8, and sum over the three. Since the cross sections in Fig. 4 have already been multiplied by 3/8, one merely has to take the arithmetic mean of the three values presented there.
19.
M. Hertzberg, Lockheed Missiles and Space Division, Palo Alto, California, private communication.
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