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ATMOSPHERIC ELECTRICITY. 1. It was not until the middle of the 18th century that experiments due to Benjamin Franklin showed that the electric phenomena of the atmosphere are not fundamentally different from those produced in the laboratory. For the next century the rate of progress was slow, though the ideas of Volta in Italy and the instrumental devices of Sir. Francis Ronalds in England merit recognition. The invention of the portable electrometer and the water-dropping electrograph by Lord Kelvin in the middle of the 19th century, and the greater definiteness thus introduced into observational results, were notable events. Towards the end of the 19th century came the discovery made by W. Linss (6)' and by J. Elster and H. Geitel (7) that even the most perfectly insulated conductors lose their charge, and that this loss depends on atmospheric conditions. Hard on this came the recognition of the fact that freely charged positive and negative ions are always present in the atmosphere, and that a radioactive emanation can be collected. Whilst no small amount of observational work has been done in these new branches of atmospheric electricity, the science has still not developed to a considerable extent beyond preliminary stages. Observations have usually been limited to a portion of the year, or to a few hours of the day, whilst the results from different stations differ much in details. It is thus difficult to form a judgment as to what has most claim to acceptance as the general law, and what may be regarded as local or exceptional.

2. Potential Gradient. - In dry weather the electric potential in the atmosphere is normally positive relative to the earth, and increases with the height. The existence of earth currents (q. v.) shows that the earth, strictly speaking, is not all at one potential, but the natural differences of potential between points on the earth's surface a mile apart are insignificant compared to the normal potential difference between the earth and a point one foot above it. What is aimed at in ordinary observations of atmospheric potential is the measurement of the difference of potential between the earth and a point a given distance above it, or of the difference of potential betweeen two points in the same vertical line a given distance apart. Let a conductor, say a metallic sphere, be supported by a metal rod of negligible electric capacity whose other end is earthed. As the whole conductor must be at zero (i.e. the earth's) potential, there must be an induced charge on the sphere, producing at its centre a potential equal but of opposite sign to what would exist at the same spot in free air. This neglects any charge in the air 1 See Authorities below.

Place and Period.

Jan.

Feb.

March.

April.

May.

June.

July.

Aug.

Sept.

Oct.

Nov.

Dec.

Karasjok (10), 1903-1904. .

143

150

137

94

74

65

70

67

67

87

120

126

Sodankyl. (31), 1882-1883

94

133

148

155

186

93

53

77

47

72

71

71

Potsdam (9), 1904. .. .

167

95

118

88

93

72

73

65

97

101

r08

123

Kew (12), 1898 - 1904.. .

127

141

113

87

77

70

61

72

76

96

126

153

Greenwich (13), 1893-1894, 1896

I10

112

127

107

83

71

76

84

83

104

104

139

Florence (14), 1883-1886. .

132

Ho

98

84

86

81

77

90

89

99

129

125

Perpignan (15), 1886-1888 .

121

112

108

89

91

92

89

82

74

99

122

121

Lisbon (16), 1884-1886. .

104

105

104

92

91

93

87

92

loc.

99

115

117

Tokyo (17), 1897 - 1898,1900 - 1901

165

145

117

86

62

58

41

59

59

97

134

176

Batavia (18)(2 m.), 1887-1890.

97

115

155

127

129

105

79

62

69

79

90

93

, 1 (7.8 m.) 1890-1895

Ioo

89

103

120

98

103

85

99

73

101

117

112

displaced by the sphere, and assumes a statical state of conditions and that the conductor itself exerts no disturbing influence. Suppose now that the sphere's earth connexion is broken and that it is carried without loss of charge inside a building at zero potential. If its potential as observed there is -V (volts), then the potential of the air at the spot occupied by the sphere was +V. This method in one shape or another has been often employed. Suppose next that a fixed insulated conductor is somehow kept at the potential of the air at a given point, then the measurement of its potential is equivalent to a measurement of that of the air. This is the basis of a variety of methods. In the earliest the conductor was represented by long metal wires, supported by silk or other insulating material, and left to pick up the air's potential. The addition of sharp points was a step in advance; but the method hardly became a quantitative one until the sharp points were replaced by a flame (fuse, gas, lamp), or by a liquid jet breaking into drops. The matter leaving the conductor, whether the products of combustion or the drops of a liquid, supplies the means of securing equality of potential between the conductor and the air at the spot where the matter quits electrical connexion with the conductor. Of late years the function of the collector is discharged in some forms of apparatus by a salt of radium. Of flame collectors the two best known are Lord Kelvin's portable electrometer with a fuse, or F. Exner's gold leaf electroscope in conjunction with an oil lamp or gas flame. Of liquid collectors the representative is Lord Kelvin's water-dropping electrograph; while Benndorf's is the form of radium collector that has been most used. It cannot be said that any one form of collector is superior all round. Flame collectors blow out in high winds, whilst water-droppers are apt to get frozen in winter. At first sight the balance of advantages seems to lie with radium. But while gaseous products and even falling water are capable of modifying electrical conditions in their immediate neighbourhood, the " infection " produced by radium is more insidious, and other drawbacks present themselves in practice. It requires a radium salt of high radioactivity to be at all comparable in effectiveness with a good water-dropper. Experiments by F. Linke (8) indicated that a water-dropper there are external buildings or trees sufficiently near to influence the potential. It is thus futile to compare the absolute voltages met with at two stations, unless allowance can be made for the influence of the environment. With a view to this, it has become increasingly common of late years to publish not the voltages actually observed, but values deduced from them for the potential gradient in the open in volts per metre. Observations are made at a given height over level open ground near the observatory, and a comparison with the simultaneous results from the self-recording electrograph enables the records from the latter to be expressed as potential gradients in the open. In the case, however, of many observatories, especially as regards the older records, no data for reduction exist; further, the reduction to the open is at best only an approximation, the success attending which probably varies considerably at different stations. This is one of the reasons why in the figures for the annual and diurnal variations in Tables I., II. and III., the potential has been expressed as percentages of its mean value for the year or the day. In most cases the environment of a collector is not absolutely invariable. If the shape of the equipotential surfaces near it is influenced by trees, shrubs or grass, their influence will vary throughout the year. In winter the varying depth of snow may exert an appreciable effect. There are sources of uncertainty in the instrument itself. Unless the insulation is perfect, the potential recorded falls short of that at the spot where the radium is placed or the water jet breaks. The action of the collector is. opposed by the leakage through imperfect insulation, or natural dissipation, and this may introduce a fictitious element into the apparent annual or diurnal variation. The potentials that have to be dealt with are often hundreds and sometimes thousands of volts, and insulation troubles are more serious than is generally appreciated. When a water jet serves as collector, the pressure under which it issues should be practically constant. If the pressure alters as the water tank empties, a discontinuity occurs in the trace when the tank is refilled, and a fictitious element may be introduced into the diurnal variation. When rain or snow is falling, the potential frequently changes rapidly. These changes. are often too rapid to be satisfactorily dealt with by an ordinary [[Table I]]. - Annual Variation Potential Gradient. having a number of fine holes, or having a fine jet under a considerable pressure, picks up the potential in about a tenth of the time required by the ordinary radium preparation protected by a glass tube. These fine jet droppers with a mixture of alcohol and water have proved very effective for balloon observations.

3. Before considering observational data, it is expedient to mention various sources of uncertainty. Above the level plain of absolutely smooth surface, devoid of houses or vegetation, the equipotential surfaces under normal conditions would be strictly horizontal, and if we could determine the potential at one metre above the ground we should have a definite measure of the potential gradient at the earth's surface. The presence, however, of apparatus or observers upsets the conditions, while above uneven ground or near a tree or a building the equipotential surfaces cease to be horizontal. In an ordinary climate a building seems to be practically at the earth's potential; near its walls the equipotential surfaces are highly inclined, and near the ridges they may lie very close together. The height of the walls in the various observatories, the height of the collectors, and the distance they project from the wall vary largely, and sometimes electrometer, and they sometimes leave hardly a trace on the photographic paper. Again rain dripping from exposed parts of the apparatus may materially affect the record. It is thus customary in calculating diurnal inequalities either to take no account of days on which there is an appreciable rainfall, or else to form separate tables for " dry " or " fine " days and for " all " days. Speaking generally, the exclusion of days of rain and of negative potential comes pretty much to the same thing, and the presence or absence of negative potential is riot infrequently the criterion by reference to which days are rejected or are accepted as normal.

4. The potential gradient near the ground varies with the season of the year and the hour of the day, and is largely dependent on the weather conditions. It is thus difficult to form even a rough estimate of the mean value at any place unless hourly readings exist, extending over the whole or the greater part of a year. It is even somewhat precipitate to assume that a mean value deduced from a single year is fairly representative of average conditions. At Potsdam, G. Liideling (9) found for the mean value for 1904 in volts per metre 242. At Karasjok in the extreme north of Norway G. C. Simpson (10) in 1903-1904 obtained 139. At Kremsmunster for 1902 P. B. Zolss (11) gives 98. At Kew ( 12 ) the mean for individual years from 1898 to.

1904 varied from 141 in 1900 to 179 in 1899, the mean from the seven years combined being 159. The large difference between the means obtained at Potsdam and Kremsmtinster, as compared to the comparative similarity between the results for Kew and Karasjok, suggests that the mean value of the potential gradient may be much more dependent on local conditions than on difference of latitude.

At any single station potential gradient has a wide range of values. The largest positive and negative values recorded are met with during disturbed weather. During thunderstorms the record from an electrograph shows large sudden excursions, the trace usually going off the sheet with every flash of. lightning when the Thunder Is Near. Exactly What The Potential Changes Amount To Under Such Circumstances It Is Impossible To Say; What The Trace Shows Depends Largely On The Type Of Electrometer. Large Rapid Changes Are Also Met With In The Absence Of Thunder During Heavy Rain Or Snow Fall.

In England The Largest Values Of A Sufficiently Steady Character To Be Shown Correctly By An Ordinary Electrograph Occur During Winter Fogs. At Such Times Gradients Of 400 Or 500 Volts Per Metre Are By No Means Unusual At Kew, And Voltages Of 700 Or Boo Are Occasionally Met With.

Station.

Karasjok.

Sodankyla.

Kew (19, 12).

Greenwich.

Florence.

Perpignan.

Lisbon.

Tokyo.

Batavia.

Cape

Horn (20).

Period.

1903 4.

1882 83.

1 864.

19 O 4

1893 96.

1883 85.

1886 88.

1884 86.

1900 I. 8

189 O

9 5.

1882 83.

Days.

All.

All.

Quiet.

All.

All.

Fine.

All.

All.

Dry.

Dry.

Pos.

It

3

O

3.5

3'35

3.O

8.4

3

O

1.7

2

8

3.5

L

5

2.5

I

0

I .3

1.8

1.5

0.5

2.0

2.0

Hour.

1

83

91

87

93

97

92

78

84

101

147

125

82

2

73

85

79

88

89

83

72

80

98

141

114

73

3

66

82

74

84

87

77

71

78

97

135

10 9

85

4

63

84

72

83

86

75

72

81

99

128

102

81

5

60

89

71

85

86

74

77

83

121

127

101

85

6

68

91

77

93

92

82

92

92

154

137

11 7

95

7

81

97

92

103

100

100

107

Ioi

167

158

147

106

8

87

100

106

112

102

I12

114

105

149

104

119

118

9

94

98

107

115

100

113

Iii

104

117

67

82

119

10

Ioi

102

100

I12

Ioi

107

100

104

87

42

55

123

Ii

99

98

90

Rot

96

100

96

102

70

35

46

123

Noon.

103

102

92

94

97

95

99

108

61

30

43

115

I

106

105

90

89

96

92

99

Iii

54

30

42

112

2

108

107

91

87

94

90

97

114

49

30

43

94

3

108

108

92

88

95

89

99

109

53

33

46

89

4

109

108

98

93

97

89

105

108

61

41

53

88

5

'Jo

108

1 O

99

102

94

113

108

76

67

73

84

6

119

I10

121

108

108

113

126

Iii

95

91

108

I10

7

129

102

134

115

Iii

121

131

116

107

120

145

107

8

136

Iii

139

118

115

129

129

114

114

137

1 55

123

9

139

Iii

138

119

117

132

120

109

119

146

155

I12

10

133

104

128

115

117

127

109

102

120

148

1 47

99

Ii

121

108

113

108

Iii

114

97

92

119

151

143

85

12

102

93

99

99

104

Too

86

85

112

147

130

98

Station.

Karasjok.

Sodankyla.

Kew.

Greenwich.

Bureau

Central (21).

Eiffel

Tower(21)

Perpignan (21).

Batavia .

(2 M.)

Period.

1903 4.

1882 83.

1898 1904.

1894 And '96.

1894 99.

1896 98.

1885 95.

1887 90.

Winter.

Summer.

Winter.

Summer.

`Winter.

Equinox.

Summer.

Winter.

Summer.

Winter.

Summer.

Summer.

Winter.

Summer.

Winter.

Summer.

Hour.

I

76

104

90

99

91

93

96

87

79

102

90

72

88

145

149

2

66

96

79

84

86

88

90

84

101

71

92

83

67

83

139

142

3

57

89

78

90

82

85

85

76

98

70

88

79

66

81

137

135

4

55

83

74

99

81

84

84

77

96

69

84

76

67

83

131

127

5

50

79

74

82

87

90

78

94

75

94

78

72

92

132

123

6

61

83

80

114

86

97

Wi

82

Ioi

83

106

87

84

107

138

136

7

78

89

86

117

95

109

113

94

107

98

118

97

104

114

166

153

8

$2

93

95

122

104

118

120

97

Iii

Iii

120

103

122

108

118

92

9

90

93

91

109

Iii

119

119

98

102

113

106

I10

126

100

74

64

10

104

93

106

101

114

I10

I10

102

98

Iii

94

109

114

93

43

40

Ii

102

92

98

97

107

95

97

103

86

108

84

107

98

90

35

36

Noon.

119

90

98

100

102

86

87

107

94

106

77

104

99

95

31

30

I

116

94

116

97

99

81

80

107

85

112

79

107

96

93

29

33

2

118

97

113'

97

97

80

76

109

82

112

81

Ii()

94

90

28

32

3

119

100

121

93

99

82

76

Iii

78

Iii

78

107

95

88

24

41

4

115

99

Iii

96

103

88

80

116

81

113

80

105

102

92

30

49

5

120

106

105

106

108

96

87

112

93

120

85

106

115

98

60

74

6

131

104

115

92

Iii

109

98

114

98

124

97

109

128

I10

88

94

7

136

Iio

118

102

114

120

Iii

117

99

124

123

113

133

122

119

122

8

134

113

117

106

112

124

123

113

108

116

134

I Io

131

127

138

135

9

137

125

115

90

Iii

123

129

Iii

118

104

130

109

124

125

145

147

Io

125

135

112

90

108

118

125

I10

124

97

122

105

Iii

117

148

148

Ii

114

126

113

103

103

109

116

1.02

120

90

115

Ioi

96

108

149

152

12

96

Iii

95

85

96

99

105

93

116

83

108

94

83

95

148

146

5. Annual Variation.-Table I. gives the annual variation of the potential gradient at a number of stations arranged according to latitude, the mean value for the whole year being taken in each case as too. Karasjok as already mentioned is in the extreme north of Norway (69° 17' N.); Sodankyla was the Finnish station of the international polar year 1882-1883. At Batavia, which is near the equator (6° II' S.) the annual variation seems somewhat irregular. Further, the results obtained with the water-dropper at two heights -viz. 2 and 7.8 metres-differ notably. At all the other stations the difference between summer and winter months is conspicuous. From the European data one would be disposed to conclude that [[Table Ii]].-Diurnal Variation Potential Gradient. Table IiI.-Diurnal Variation Potential Gradient. the variation throughout the year diminishes as one approaches the equator. It is decidedly less at Perpignan and Lisbon than at Potsdam, Kew and Greenwich, but nowhere is the seasonal difference more conspicuous than at Tokyo, which is south of Lisbon.

At the temperate stations the maximum occurs near mid-winter; in the Arctic it seems deferred towards spring.

6. Diurnal Variation

Table II. gives the mean diurnal variation for the whole year at a number of stations arranged in order of latitude, the mean from the 24 hourly values being taken as loo. The data are some from " all " days, some from " quiet," " fine " or " dry " days. The height, h, and the distance from the wall, 1, where the potential is measured are given in metres when known. In most cases two distinct maxima and minima occur in the 24 hours. The principal maximum is usually found in the evening between 8 and pp P.M., the principal minimum in the morning from 3 to 5 A.M. At some stations the minimum in the afternoon is indistinctly shown, but at Tokyo and Batavia it is much more conspicuous than the morning minimum.

7. In Table III. the diurnal inequality is shown for " winter " and " summer " respectively. In all cases the mean value for the 24 hours is taken as 100. By " summer " is meant April to Sep -?? 100 tember at Sodankyla., IllEFIMEM' 90 Greenwich and ust at via; May to August at 111 100 Kew, Bureau Central so (Paris), Eiffel Tower and Perpignan; and May to July at Karasjok. " Winter " in- ,00 eludes October to arch at Sod, so Greenwich and Batavia; November to February at Kew ky and M Kew '110 Bureau Central; December 100, 100 November to January ' at Karasjok, and December and Janu ary at Perpignan. Kew 110 Mean results from June 100 ? - 1 ,00 March, April, Septem ber and October at so Kew are assigned to 110 " Equinox." Kew At Batavia the Potential 100 , - ? 100 difference between r 00 winter and summer is comparatively small. Elsewhere there is a ? inn tendencyforthe double period, usually so prominent in summer, to become less pro- 6 Noon 6 Mid- nounced in winter, the a.m. p.m. night afternoon minimum tending to disappear.

Even in summer the double period is not prominent in the arctic climate of Karasjok or on the top of the Eiffel Tower. The diurnal variation in summer at the latter station is shown graphically in the top curve of fig. 1. It presents a remarkable resemblance to the adjacent curve, which gives the diurnal variation at mid-winter at the Bureau Central. The resemblance between these curves is much closer than that between the Bureau Central's own winter and summer curves. All three Paris curves show three peaks, the first and third representing the ordinary forenoon and afternoon maxima. In summer at the Bureau Central the intermediate peak nearly disappears in the profound afternoon depression, but it is still recognizable. This three-peaked curve is not wholly pecuiiar to Paris, being seen, for instance, at Lisbon in summer. The December and June curves for Kew are good examples of the ordinary nature of the difference between midwinter and midsummer. The afternoon minimum at Kew gradually deepens as midsummer approaches. Simultaneously the forenoon maximum occurs earlier and the afternoon maximum later in the day. The two last curves in the diagram contrast the diurnal variation at Kew in potential gradient and in barometric pressure for the year as a whole. The somewhat remarkable resemblance between the diurnal variation for the two elements, first remarked on by J. D. Everett (19), is of interest in connexion with recent theoretical conclusions by J. P. Elster and H. F. K. Geitel and by H. Ebert.

In the potential curves of the diagram the ordinates represent the hourly values expressed - as in Tables II. and III. - as percentages of the mean value for the day. If this be overlooked, a wrong impression may be derived as to the absolute amplitudes of the changes. The Kew curves, for instance, might suggest that the range (maximum less minimum hourly value) was larger in June than in December. In reality the December range was 82, the June only 57 volts; but the mean value of the potential was 243 in December as against III in June. So again, in the case of the Paris curves, the absolute value of the diurnal range in summer was much greater for the Eiffel Tower than for the Bureau Central, but the mean voltage was 2150 at the former station and only 134 at the latter.

8. Fourier Coefficients. - Diurnal inequalities such as those of Tables II. and III. and intended to eliminate irregular changes, but they also to some extent eliminate regular changes if the hours of maxima and minima or the character of the diurnal variation alter throughout the year. The alteration that takes place in the regular diurnal inequality throughout the year is best seen by analysing it into a Fourier series of the type c 1 sin ( t+ a l) +c2 sin ( 2t+ a 2)+c 3 sin ( 3t+a3)+c4 sin (4t+a 4)+.. .

where t denotes time counted from (local) midnight, c 1, c 2, c 4 ,..

are the amplitudes of the component harmonic waves of periods 24, 12, 8 and 6 hours; al, a2, a 3, a 4, are the corresponding phase angles. One hour of time t is counted as 15°, and a delay of one hour in the time of maximum answers to a diminution of 15° in a l, of 30° in a2, and so on. If a l, say, varies much throughout the year, or if the ratios of i c4, ... to c 1, vary much, then a diurnal inequality derived from a whole year, or from a season composed of several months, represents a mean curve arising from the superposition of a number of curves, which differ in shape and in the positions of their maxima and minima. The result, if considered alone, inevitably leads to an underestimate of the average amplitude of the regular diurnal variation.

It is also desirable to have an idea of the size of the irregular changes which vary from one day to the next. On stormy days, as already mentioned, the irregular changes hardly admit of satisfactory treatment. Even on the quietest days irregular changes are always numerous and often large.

Table IV. aims at giving a summary of the several phenomena for a single station, Kew, on electrically quiet days. The first line gives the mean value of the potential gradient, the second the mean excess of the largest over the smallest hourly value on individual days. The hourly values are derived from smoothed curves, the object being to get the mean ordinate for a 60-minute period. If the actual crests of the excursions had been measured the figures in the second line would have been even larger. The third line gives the range of the regular diurnal inequality, the next four lines the amplitudes of the first four Fourier waves into which the regular diurnal inequality has been analysed. These mean values, ranges and amplitudes are all measured in volts per metre (in the open). The last four lines of Table IV. give the phase angles of the first four Fourier waves.

It will be noticed that the difference between the greatest and least hourly values is, in all but three winter months, actually larger than the mean value of the potential gradient for the day; it bears to the range of the regular diurnal inequality a ratio varying from 2.0 in May to 3.6 in November.

Jan.

Feb.

March.

April.

May.

June.

July.

Aug.

Sept.

Oct.

Nov.

Dec.

Mean Potential Gradient

201

224

180

138

123

III

98

114

121

153

200

243

Mean of individual daily ranges

203

218

210

164

143

132

117

129

141

196

186

213

Range in Diurnal inequality .

73

94

83

74

71

57

55

60

54

63

52

82

C I

22

22

17

13

18

9

6

6

9

7

14

30

21

33

34

31

22

23

24

26

23

30

17

21

Amplitudes of Fourier waves c 3

7

10

5

5

3

I

3

2

3

6

5

7

3

5

6

4

1

4

3

4

3

2

3

0

0

°

°

o

0

0

0

°

o

0

0

a,

a 2

206

170

204

171

123

186

72

1 93

86

188

79

183

48

185

142

182

154

199

192

206

202

212

208

175

Phase angles of Fourier waves a 3

11

9

36

96

loo

125

124

107

16

18

38

36

a 4

2 35

225

307

314

314

277

293

313

330

288

238

249

At midwinter the 24-hour term is the largest, but near midsummer it is small compared to the 12-hour term. The 24-hour term is very variable both as regards its amplitude and its phase angle (and so [[Table Iv]]. - Absolute Potential Data at Kew (12). .110 Eiffel 100 Tower Summer 110 100 Bureau Central Winter Bureau Central 110 Summer 100 110 Kew Barometric 100 Pressure 90 night its hour of maximum). The 12-hour term is much less variable, especially as regards its phase angle; its amplitude shows distinct maxima near the equinoxes. That the 8-hour and 6-hour waves, though small near midsummer, represent more than mere accidental irregularities, seems a safe inference from the regularity apparent in the annual variation of their phase angles.

9. Table V. gives some data for the 24-hour and 12-hour Fourier coefficients, which will serve to illustrate the diversity between different stations. In this table, unlike Table IV., amplitudes are all expressed as decimals of the mean value of the potential gradient for the corresponding season. " Winter " means generally the four midwinter, and " summer " the four midsummer, months; but at Karasjok three, and at Kremsmunster six, months are included in each season. The results for the Sonnblick are derived from a comparatively small number of days in August and September. At Potsdam the data represent the arithmetic means derived from the Fourier analysis for the individual months comprising the season. The 1862-1864 data from Kew - due to J. D. Everett (19 ) - are based on "all" days; the others, except Karasjok to some extent, represent electrically quiet days. The cause of the large difference between the two sets of data for c l at [[Table V]]. - Fourier Series Amplitudes and Phase Angles. Kew is uncertain. The potential gradient is in all cases lower in summer than winter, and thus the reduction in c 1 in summer would appear even larger than in Table V. if the results were expressed in absolute measure. At Karasjok and Kremsmunster the seasonal variation in a i seems comparatively small, but at Potsdam and the Bureau Central it is as large as at Kew. Also, whilst the winter values of a i are fairly similar at the several stations the summer values are widely different. Except at Karasjok, where the diurnal changes seem somewhat irregular, the relative amplitude of the 12-hour term is considerably greater in summer than in winter. The values of a 2 at the various stations differ comparatively little, and show but little seasonal change. Thus the 12-hour term has a much greater uniformity than the 24-hour term. This possesses significance in connexion with the view, supported by A. B. Chauveau (21), F. Exner (24) and others, that the 12-hour term is largely if not entirely a local phenomenon, due to the action of the lower atmospheric strata, and tending to disappear even in summer at high altitudes. Exner attributes the double daily maximum, which is largely a consequence of the 12-hour wave, to a thin layer near the ground, which in the early afternoon absorbs the solar radiation of shortest wave length. This layer he believes specially characteristic of arid dusty regions, while comparatively non-existent in moist climates or where foliage is luxuriant. In support of his theory Exner states that he has found but little trace of the double maximum and minimum in Ceylon and elsewhere. C. Nordmann (25) describes some similar results which he obtained in Algeria during August and September 1905. His station, Philippeville, is close to the shores of the Mediterranean, and sea breezes persisted during the day. The diurnal variation showed only a single maximum and minimum, between 5 and 6 P. M. and 4 and 5 A. M. respectively. So again, a few days' observations on the top of Mont Blanc (4810 metres) by le Cadet ( 26 ) in August and September 1902, showed only a single period, with maximum between 3 and 4 P. M., and minimum about 3 A.M. Chauveau points to the reduction in the 12-hour term as compared to the 24-hour term on the Eiffel Tower, and infers the practical disappearance of the former at no great height. The close approach in the values for c l in Table V. from the Bureau Central and the Eiffel Tower, and the reduction of e 2 at the latter station, are unquestionably significant facts; but the summer value for c 2 at Karasjok - a low level station - is nearly as small as that at the Eiffel Tower, and notably smaller than that at the Sonnblick (3100 metres). Again, Kew is surrounded by a large park, not devoid of trees, and hardly the place where Exner's theory would suggest a large value for C2, and yet the summer value of c 2 at Kew is the largest in Table V.

10. Observations on mountain tops generally show high potentials near the ground. This only means that the equipotential surfaces are crowded together, just as they are near the ridge of a house. To ascertain how the increase in the voltage varies as the height in the free atmosphere increases, it is necessary to employ kites or balloons. At small heights Exner (27) has employed captive balloons, provided with a burning fuse, and carrying a wire connected with an electroscope on the ground. He found the gradient nearly uniform for heights up to 30 to 40 metres above the ground. At great heights free balloons seem necessary. The balloon

Bibliography Information
Chisholm, Hugh, General Editor. Entry for 'Atmospheric Electricity'. 1911 Encyclopedia Britanica. https://www.studylight.org/​encyclopedias/​eng/​bri/​a/atmospheric-electricity.html. 1910.
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