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14 Questions for Problem Set 4 - Physical Chemistry | CHEM 3124, Assignments of Physical Chemistry

Material Type: Assignment; Professor: Reeve; Class: PHYSICAL CHEMISTRY I; Subject: Chemistry; University: Arkansas State University; Term: Unknown 1989;

Typology: Assignments

Pre 2010

Uploaded on 07/28/2009

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Physical Chemistry I
Problem Set # 4
1. Problem # 5-13 from text.
2. Problem # 5-15 from text (only need to show that ψ1 is a solution).
3. Problem # 5-17 from text (only generate I1 and I2).
4. Problem # 5-22 from text.
5. Problem # 5-24 from text.
6. Problem #5-29 from text.
7. Problem # 5-37 from text.
8. Find the expectation values for <x> and <x2> for the ground state of the harmonic
oscillator. Use the normalization constant
(
)
4/1
π
ω
h
m
A=.
9. Find <p> and <p2> for ground state of the harmonic oscillator.
10. Evaluate xp for the harmonic oscillator using 8) and 9) above.
11. The microwave spectrum of 39K 127I consists of a series of lines whose spacing is
almost constant at 3634 MHz. Calculate the bond length for 39K127I.
12. The equilibrium bond length of H 127I is 160.4 pm. Calculate the value for B in
cm-1 and MHz.
13. Show that for a linear triatomic molecule consisting of atoms with masses m1, m2,
and m3, the moment of inertia is given by
()
2
2332
2
1331
2
1221
321
1rmmrmmrmm
mmm
I++
++
=
14. Consider the HOD molecule with bond length r = 0.958 angstroms and bond
angle of θ = 104.5. Find the principal moments of inertia.

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Physical Chemistry I

Problem Set # 4

  1. Problem # 5-13 from text.
  2. Problem # 5-15 from text (only need to show that ψ 1 is a solution).
  3. Problem # 5-17 from text (only generate I 1 and I 2 ).
  4. Problem # 5-22 from text.
  5. Problem # 5-24 from text.
  6. Problem #5-29 from text.
  7. Problem # 5-37 from text.
  8. Find the expectation values for and <x^2 > for the ground state of the harmonic

oscillator. Use the normalization constant (^ )^

1 / 4 π

ω h A =^ m.

  1. Find

    and <p^2 > for ground state of the harmonic oscillator.

  2. Evaluate ∆x∆p for the harmonic oscillator using 8) and 9) above.
  3. The microwave spectrum of 39 K 127 I consists of a series of lines whose spacing is almost constant at 3634 MHz. Calculate the bond length for 39 K^127 I.
  4. The equilibrium bond length of H 127 I is 160.4 pm. Calculate the value for B in cm-1^ and MHz.
  5. Show that for a linear triatomic molecule consisting of atoms with masses m 1 , m 2 , and m 3 , the moment of inertia is given by

1 2 3

mmr mmr mmr m m m

I ⎟⎟ + +

  1. Consider the HOD molecule with bond length r = 0.958 angstroms and bond angle of θ = 104.5. Find the principal moments of inertia.