'
\
3—9.
DUALISTIC NATURE OF THE ELECTRON 59
Since the angles are small in practice, sin 6 = 6. From gure 3—4
_
it may be seen that tan 26
7/8 or, with sufcient accuracy,
29=r/S.
Then
.
'
’
x =
: _1
‘
.
‘
(3—13)
From x-ray measurements, a_
is 4.07 >< 10“8 cm. for gold,
4.04 X 10”8 cm; for aluminum, and 3.91 >< 10—8 cm. for platinum.
‘
The radical, V H 2 + K2 + L2 is a constant for a given foil material and a given ring on the screen.
goldit is equal to 1.732
for the smallest ring and 2.000, 2.828, 3.354,» 4.000, 4.416, 4.899,
—
5.196 and 5.950 for the progressively «larger rings. The indices
H, K and [. depend'on the geometry of the crystal lattice. Their
values, as well as the modicationsnecessary for crystals which
do not have a cubic structure, may be f0und in texts on the subject
.
of crystal
See also the discussion of
Spots and
Crystal Analysis in ‘ëëçci6’9—‘11, in the chapter on x—rays.
3—9.
The Düastic Nature of the Electron—The electron was
treated as a particle
experiments of chapter2"
and as a wave
and diffraction experiments of. this
'
‘
chapter. _{No
of the electron has yet been made which
HOW— '
.
the
.—
andtheelectr0nwavemaYbemade-iïthèi9f011@wmg manner— =
,
]
long—wave
thcm travel
.
‘
>
mthe samed1rectwn andahesamevelwtÿ
;,but letthe WàVe—..Ÿlengthofoneeshghy10ngerthanthatoftheotherWhenthe
‘
.
,?«5Ï atanymstantWillbegreateratœrtampomtsalangtheIrpath .
:
wheretheya1deach@theranlessatmtermed1aœpomtswhere
theyareoutofphaseAst1megœsnthesemaxmaandm1mm
_
WillmovemsuccesswnpastalvenpmntThelrvebütÿwïe
NextImaginethatnot0nlÿthewavelengthsefthemWlduaï
Thlswouldoccur1fthewavewfdlfferentfreuencywerepassmg
_
17
-
throughadlspemwemedlumThen1twouïdbefwndthatthe
'
7
\
3—9.
DUALISTIC NATURE OF THE ELECTRON 59
Since the angles are small in practice, sin 6 = 6. From gure 3—4
_
it may be seen that tan 26
7/8 or, with sufcient accuracy,
29=r/S.
Then
.
'
’
x =
: _1
‘
.
‘
(3—13)
From x-ray measurements, a_
is 4.07 >< 10“8 cm. for gold,
4.04 X 10”8 cm; for aluminum, and 3.91 >< 10—8 cm. for platinum.
‘
The radical, V H 2 + K2 + L2 is a constant for a given foil material and a given ring on the screen.
goldit is equal to 1.732
for the smallest ring and 2.000, 2.828, 3.354,» 4.000, 4.416, 4.899,
—
5.196 and 5.950 for the progressively «larger rings. The indices
H, K and [. depend'on the geometry of the crystal lattice. Their
values, as well as the modicationsnecessary for crystals which
do not have a cubic structure, may be f0und in texts on the subject
.
of crystal
See also the discussion of
Spots and
Crystal Analysis in ‘ëëçci6’9—‘11, in the chapter on x—rays.
3—9.
The Düastic Nature of the Electron—The electron was
treated as a particle
experiments of chapter2"
and as a wave
and diffraction experiments of. this
'
‘
chapter. _{No
of the electron has yet been made which
HOW— '
.
the
.—
andtheelectr0nwavemaYbemade-iïthèi9f011@wmg manner— =
,
]
long—wave
thcm travel
.
‘
>
mthe samed1rectwn andahesamevelwtÿ
;,but letthe WàVe—..Ÿlengthofoneeshghy10ngerthanthatoftheotherWhenthe
‘
.
,?«5Ï atanymstantWillbegreateratœrtampomtsalangtheIrpath .
:
wheretheya1deach@theranlessatmtermed1aœpomtswhere
theyareoutofphaseAst1megœsnthesemaxmaandm1mm
_
WillmovemsuccesswnpastalvenpmntThelrvebütÿwïe
NextImaginethatnot0nlÿthewavelengthsefthemWlduaï
Thlswouldoccur1fthewavewfdlfferentfreuencywerepassmg
_
17
-
throughadlspemwemedlumThen1twouïdbefwndthatthe
'
7