6.161. Find the minimum magnitude of the magnetic field induction B at which a spectral instrument with resolving power ?LIU =
= 1.0.105 is capable of resolving the components of the spectral
line 2,, = 536 nm caused by a transition between singlet terms. The
observation line is at right angles to the magnetic field direction.
6.162. A spectral line caused by the transition 3D1 3 P, experiences the Zeeman splitting in a weak magnetic field. When observed
at right angles to the magnetic field direction, the interval between
the neighbouring components of the split line is Aco = 1.32.101° s-1
Find the magnetic field induction B at the point where the source
is located.
6.163. The wavelengths of the Na yellow doublet (2P
2S) are
equal to 589.59 and 589.00 nm. Find:
(a) the ratio of the intervals between neighbouring sublevels of
the Zeeman splitting of the terms 2P312 and 2P112 in a weak magnetic
field;
(b) the magnetic field induction B at which the interval between
neighbouring sublevels of the Zeeman splitting of the term 2/3312
is 11 = 50 times smaller than the natural
splitting of the term 2P.
6.164. Draw a diagram of permitted
W/1P//
transitions between the terms 2P312 and 25 112 a e
)fri
in a weak magnetic field. Find the displace-
M
ments (in rad/s units) of Zeeman components
/
of that line in a magnetic field B = 4.5 kG.
6.165. The same spectral line undergoing
Fig. 6.9.
anomalous Zeeman splitting is observed in
direction 1 and, after reflection from the mirror M (Fig. 6.9), in
direction 2. How many Zeeman components are observed in both
directions if the spectral line is caused by the transition
(a) 2P312
2,9112; (b) 3P 2
3,51?
6.166. Calculate the total splitting Ae) of the spectral line 3D3 —0—4.- 3P 2 in a weak magnetic field with induction B = 3.4 kG.
6.4. MOLECULES AND CRYSTALS
• Rotational energy of a diatomic molecule:
h2
E J — TT (J +1.)'
where I is the molecule's moment of inertia.
• Vibrational energy of a diatomic molecule:
, 1
(v-{ 1)
2 '
where co is the natural frequency of oscillations of the molecule.
(6.4a)
(6.4b)
= 1.0.105 is capable of resolving the components of the spectral
line 2,, = 536 nm caused by a transition between singlet terms. The
observation line is at right angles to the magnetic field direction.
6.162. A spectral line caused by the transition 3D1 3 P, experiences the Zeeman splitting in a weak magnetic field. When observed
at right angles to the magnetic field direction, the interval between
the neighbouring components of the split line is Aco = 1.32.101° s-1
Find the magnetic field induction B at the point where the source
is located.
6.163. The wavelengths of the Na yellow doublet (2P
2S) are
equal to 589.59 and 589.00 nm. Find:
(a) the ratio of the intervals between neighbouring sublevels of
the Zeeman splitting of the terms 2P312 and 2P112 in a weak magnetic
field;
(b) the magnetic field induction B at which the interval between
neighbouring sublevels of the Zeeman splitting of the term 2/3312
is 11 = 50 times smaller than the natural
splitting of the term 2P.
6.164. Draw a diagram of permitted
W/1P//
transitions between the terms 2P312 and 25 112 a e
)fri
in a weak magnetic field. Find the displace-
M
ments (in rad/s units) of Zeeman components
/
of that line in a magnetic field B = 4.5 kG.
6.165. The same spectral line undergoing
Fig. 6.9.
anomalous Zeeman splitting is observed in
direction 1 and, after reflection from the mirror M (Fig. 6.9), in
direction 2. How many Zeeman components are observed in both
directions if the spectral line is caused by the transition
(a) 2P312
2,9112; (b) 3P 2
3,51?
6.166. Calculate the total splitting Ae) of the spectral line 3D3 —0—4.- 3P 2 in a weak magnetic field with induction B = 3.4 kG.
6.4. MOLECULES AND CRYSTALS
• Rotational energy of a diatomic molecule:
h2
E J — TT (J +1.)'
where I is the molecule's moment of inertia.
• Vibrational energy of a diatomic molecule:
, 1
(v-{ 1)
2 '
where co is the natural frequency of oscillations of the molecule.
(6.4a)
(6.4b)