(b) the difference in binding energies of K and L electrons in
vanadium.
6.135. How many elements are there in a row between those
whose wavelengths of Ka lines are equal to 250 and 179 pm?
6.136. Find the voltage applied to an X-ray tube with nickel
anticathode if the wavelength difference between the K c, line and
the short-wave cut-off of the continuous X-ray spectrum is equal
to 84 pm.
6.137. At a certain voltage applied to an X-ray tube with aluminium anticathode the short-wave cut-off wavelength of the continuous X-ray spectrum is equal to 0.50 nm. Will the K series of the
characteristic spectrum whose excitation potential is equal to
1.56 kV be also observed in this case?
6.138. When the voltage applied to an X-ray tube increased from
V1 = 10 kV to V , = 20 kV, the wavelength interval between
the Ka line and the short-wave cut-off of the continuous X-ray
spectrum increases by a factor n = 3.0. Find the atomic number of
the element of which the tube's anticathode is made.
6.139. What metal has in its absorption spectrum the difference
between the frequencies of X-ray K and L absorption edges equal
to Au) = 6.85.1018 s -1 ?
6.140. Calculate the binding energy of a K electron in vanadium
whose L absorption edge has the wavelength X, = 2.4 nm.
6.141. Find the binding energy of an L electron in titanium if
the wavelength difference between the first line of the K series and
its short-wave cut-off is A? = 26 pm.
6.142. Find the kinetic energy and the velocity of the photoelectrons liberated by Kc, radiation of zinc from the K shell of iron whose
K band absorption edge wavelength is ?K = 174 pm.
6.143. Calculate the Lande g factor for atoms
(a) in S states; (b) in singlet states.
6.144. Calculate the Lande g factor for the following terms:
(a) 6F1/2; (b) 4D112; (c) 5F2; (d) 5P1; (e) 3Po.
6.145. Calculate the magnetic moment of an atom (in Bohr
magnetons)
(a) in 1F state;
(b) in 2D 312 state;
(c) in the state in which S = 1, L = 2, and Lande factor g = 4/3.
6.146. Determine the spin angular momentum of an atom in
the state D2 if the maximum value of the magnetic moment projection in that state is equal to four Bohr magnetons.
6.147. An atom in the state with quantum numbers L = 2,
S = 1. is located in a weak magnetic field. Find its magnetic moment
if the least possible angle between the angular momentum and
the field direction is known to be equal to 30°.
6.148. A valence electron in a sodium atom is in the state with
principal quantum number n = 3, with the total angular momentum
being the greatest possible. What is its magnetic moment in that state?
262
vanadium.
6.135. How many elements are there in a row between those
whose wavelengths of Ka lines are equal to 250 and 179 pm?
6.136. Find the voltage applied to an X-ray tube with nickel
anticathode if the wavelength difference between the K c, line and
the short-wave cut-off of the continuous X-ray spectrum is equal
to 84 pm.
6.137. At a certain voltage applied to an X-ray tube with aluminium anticathode the short-wave cut-off wavelength of the continuous X-ray spectrum is equal to 0.50 nm. Will the K series of the
characteristic spectrum whose excitation potential is equal to
1.56 kV be also observed in this case?
6.138. When the voltage applied to an X-ray tube increased from
V1 = 10 kV to V , = 20 kV, the wavelength interval between
the Ka line and the short-wave cut-off of the continuous X-ray
spectrum increases by a factor n = 3.0. Find the atomic number of
the element of which the tube's anticathode is made.
6.139. What metal has in its absorption spectrum the difference
between the frequencies of X-ray K and L absorption edges equal
to Au) = 6.85.1018 s -1 ?
6.140. Calculate the binding energy of a K electron in vanadium
whose L absorption edge has the wavelength X, = 2.4 nm.
6.141. Find the binding energy of an L electron in titanium if
the wavelength difference between the first line of the K series and
its short-wave cut-off is A? = 26 pm.
6.142. Find the kinetic energy and the velocity of the photoelectrons liberated by Kc, radiation of zinc from the K shell of iron whose
K band absorption edge wavelength is ?K = 174 pm.
6.143. Calculate the Lande g factor for atoms
(a) in S states; (b) in singlet states.
6.144. Calculate the Lande g factor for the following terms:
(a) 6F1/2; (b) 4D112; (c) 5F2; (d) 5P1; (e) 3Po.
6.145. Calculate the magnetic moment of an atom (in Bohr
magnetons)
(a) in 1F state;
(b) in 2D 312 state;
(c) in the state in which S = 1, L = 2, and Lande factor g = 4/3.
6.146. Determine the spin angular momentum of an atom in
the state D2 if the maximum value of the magnetic moment projection in that state is equal to four Bohr magnetons.
6.147. An atom in the state with quantum numbers L = 2,
S = 1. is located in a weak magnetic field. Find its magnetic moment
if the least possible angle between the angular momentum and
the field direction is known to be equal to 30°.
6.148. A valence electron in a sodium atom is in the state with
principal quantum number n = 3, with the total angular momentum
being the greatest possible. What is its magnetic moment in that state?
262