518 Appendix
- 1.46 m.
- A negative total energy signifies that the electron is bound to the nucleus; the
kinetic energy of the electron is a positive quantity. - 2.6 1074.
- pcalculated in this way is half the electron’s linear momentum in orbit.
- The Doppler effect shifts the frequencies of the emitted light to both higher and
lower frequencies to produce wider lines than atoms at rest would give rise to. - 91.2 nm.
- 92.1 nm; ultraviolet.
- 12.1 V.
- 91.13 nm.
- nR(R1); ni3.
- (a) EiEfh (1 h 2 Mc^2 ). (b) KEh 1.0 10 ^9 , so the effect is neg-
ligible for atomic radiation. - fn (2n^2
4 n 2)(2n^2 n), which is greater than 1; fn
1 2 n^2 (2n^2
3 n 1), which is less than 1. - 0.653 nm; x-ray.
- 0.238 nm.
- (a) En(mZ^2 e^4 8 ^20 h^2 )(1n^2 ).
(b)
HHe^
n ___ E 0
n4 __ n8 __
n3 __ n6 __
n5 __
n2 __ n4 __ energy
n3 __
n1 __ n2 __
(c) 2.28 10 ^8 m. - 3.49 1018 ions.
- Small implies a large impact parameter, in which case the full nuclear charge
of the target atom is partially screened by its electrons. - 10°.
- 0.84.
- Hint: f(60°,90°)f(90°)[f(60°)f(90°)]f(90°), where f()
is proportional to cot^2 2. - 0.87.
CHAPTER 5
- bis double-valued; chas a discontinuous derivative; dgoes to infinity; fis
discontinuous. - aand bare discontinuous and become infinite at 2, 32, 52,... ; c
becomes infinite as xgoes to . - (a) 8 3 .(b) 0.462.
- The wave function cannot be normalized, so it cannot represent a real particle.
However, a linear superposition of such waves could give a wave group and be
normalizable with →0 at both ends of the group. Such a wave group would
correspond to a real particle. - Near x0 the particle has more kinetic energy, hence more momentum, and
has a correspondingly shorter wavelength. The particle is less likely to be found
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