
Concept explainers
(a)
Interpretation:
The possible observable values of orbital and spin angular momenta and their
Concept introduction:
The magnetic fields generated by the spin

Answer to Problem 15.12E
The possible observable values of orbital angular momenta for a single
Explanation of Solution
The value of orbital angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The spin angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The total angular momentum
The value of
Therefore, the values of
The possible observable values of orbital angular momenta for a single
(b)
Interpretation:
The possible observable values of orbital and spin angular momenta and their
Concept introduction:
The magnetic fields generated by the spin angular momentum and the orbital angular momentum of an electron interact with each other to generate an overall angular momentum. The interaction between the orbital angular momentum and the spin angular momentum is termed as spin-orbit coupling.

Answer to Problem 15.12E
The possible observable values of orbital angular momenta for a single
Explanation of Solution
The value of orbital angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The spin angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The total angular momentum
The value of
Therefore, the values of
The possible observable values of orbital angular momenta for a single
(c)
Interpretation:
The possible observable values of orbital and spin angular momenta and their
Concept introduction:
The magnetic fields generated by the spin angular momentum and the orbital angular momentum of an electron interact with each other to generate an overall angular momentum. The interaction between the orbital angular momentum and the spin angular momentum is termed as spin-orbit coupling.

Answer to Problem 15.12E
The possible observable values of orbital angular momenta for a single
Explanation of Solution
The value of orbital angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The spin angular momentum
The total number of
Substitute the value of
The value of
Therefore, the values of
The total angular momentum
The value of
Therefore, the values of
The possible observable values of orbital angular momenta for a single
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Chapter 15 Solutions
PHYSICAL CHEMISTRY-STUDENT SOLN.MAN.
- Assign all the carbonsarrow_forward9 7 8 C 9 8 200 190 B 5 A -197.72 9 8 7 15 4 3 0: ང་ 200 190 180 147.52 134.98 170 160 150 140 130 120 110 100 90 90 OH 10 4 3 1 2 -143.04 140. 180 170 160 150 140 130 120 110 100 90 CI 3 5 1 2 141.89 140.07 200 190 180 170 160 150 140 130 120 110 100 ៖- 90 129. 126.25 80 70 60 -60 50 40 10 125.19 -129.21 80 70 3.0 20 20 -8 60 50 10 ppm -20 40 128.31 80 80 70 60 50 40 40 -70.27 3.0 20 10 ppm 00˚0-- 77.17 30 20 20 -45.36 10 ppm -0.00 26.48 22.32 ―30.10 ―-0.00arrow_forwardAssign all the carbonsarrow_forward
- C 5 4 3 CI 2 the Righ B A 5 4 3 The Lich. OH 10 4 5 3 1 LOOP- -147.52 T 77.17 -45.36 200 190 180 170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 ppm B -126.25 77.03 200 190 180 170 160 150 140 130 120 110 100 90 80 70 60 50 40 30 20 10 ppm 200 190 180 170 160 150 140 130 120 110 100 90 80 TO LL <-50.00 70 60 50 40 30 20 10 ppm 45.06 30.18 -26.45 22.36 --0.00 45.07 7.5 1.93 2.05 -30.24 -22.36 C A 7 8 5 ° 4 3 7.5 7.0 6.5 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 ppm 9 8 5 4 3 ཡི་ OH 10 2 7.5 7.0 6.5 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 5 4 3 2 that th 7 I 7.0 6.5 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 115 2.21 4.00 1.0 ppm 6.96 2.76 5.01 1.0 ppm 6.30 1.00arrow_forwardCurved arrows were used to generate the significant resonance structure and labeled the most significant contribute. What are the errors in these resonance mechanisms. Draw out the correct resonance mechanisms with an brief explanation.arrow_forwardWhat are the: нсе * Moles of Hice while given: a) 10.0 ml 2.7M ? 6) 10.ome 12M ?arrow_forward
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- 7.5 1.93 2.05 C B A 4 3 5 The Joh. 9 7 8 1 2 7.5 7.0 6.5 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 ppm 9 7 8 0.86 OH 10 4 3 5 1 2 7.5 7.0 6.5 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 1.5 1.0 ppm 9 7 8 CI 4 3 5 1 2 7.0 6.5 6.0 5.5 5.0 4.5 4.0 3.5 3.0 2.5 2.0 2.21 4.00 1.5 2.00 2.07 1.0 ppm 2.76arrow_forwardAssign the functional group bands on the IR spectra.arrow_forwardFind the pH of a 0.120 M solution of HNO2. Find the pH ignoring activity effects (i.e., the normal way). Find the pH in a solution of 0.050 M NaCl, including activityarrow_forward
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