(a) Give the possible term symbols for (i) $L_{1}[H e] 2 s^{3},$ (ii) $\mathrm{Na}[\mathrm{Nc}] 3 \mathrm{p}^{3}.$ (b) Give the possible term symbols for (i) $\operatorname{Sc}[\mathrm{Ar}] 3 \mathrm{d}^{10} 4 \mathrm{s}^{2},$ (ii) $\mathrm{Br} [\mathrm{Ar}] 3 \mathrm{d}^{10} \mathrm{4s}^{2} 4 \mathrm{p}^{5}.$

Give the symbols for potassium and phosphorus.

In the ground state of a hydrogen atom, what is the probability of finding an electron anywhere in a sphere of radius (a) $a_0$, or

Evaluate $\int_{C} \mathbf{F} \cdot d \mathbf{r}$. $\mathbf{F}(x, y)=\left\langle\frac{1}{y}-e^{2 x}, 2 x-\frac{x}{y^{2}}\right\rangle$, C is the circle $(x-5)^{2}+(y+6)^{2}=16$, oriented counterclockwise

How do functions help you to reuse code in a program?

Give the symbols and names of the elements that correspond to these configurations of an atom.

$$1s^22s^22p^4$$

Give the symbols and names of the elements that correspond to these configurations of an atom.

$$1s^22s^22p^63s^23p^63d^24s^1$$

(a) Suppose that an atom has ( i ) 2, (ii) 3, electrons in different orbitals. What are the possible values of the total spin quantum number S? What is the multiplicity in each case? (b) Suppose that an atom has (i) 4, (ii) 5, electrons in different orbitals. What are the possible values of the total spin quantum number S? What is the multiplicity in each case?

(a) What information does the term symbol $^{1} \mathrm{D} _{2}$ provide about the angular momentum of an atom? (b) What information does the term symbol $^{3} \mathrm{F}_{4}$ provide about the angular momentum of an atom?

The term symbols for an $n d^2$ electron configuration are ${ }^1 \mathrm{~S},{ }^1 \mathrm{D},{ }^1 \mathrm{G},{ }^3 \mathrm{P}$, and ${ }^3 \mathrm{~F}$. Calculate the values of $J$ associated with each of these term symbols. Which term symbol represents the ground state?

(a) What atomic terms are possible for the electron configuration $n s^{3} n d^{3} ?$ Which term is likely to lic lowest in energy? (b) What atomic terms are possible for the electron configuration $n p^{3} n d^{3} ?$ Which term is likely to lie lowest in energy?

(a) Which of the following transitions are allowed in the electronic emission spectrum of a hydrogenic atom: (i) $2s \rightarrow 1s,$ (ii) $2p \rightarrow 1s,$ (iii) $3d \rightarrow 2 p?$ (b) Which of the following transitions are allowed in the electronic emission spectrum of a hydrogenic atom: (i) $5d \rightarrow 2s,$ (ii) $5p \rightarrow 3s,$ (iii) $6p \rightarrow 4f?$

(a) What are the permitted values of j for (i) a d electron, (ii) an f electron? (b) What are the permitted values of j for (i) a p electron, (ii) an h electron?

(a) Which of the following transitions are allowed in the normal electronic emission spectrum of an atom: (i) $2 \mathrm { s } \rightarrow 1 \mathrm { s }$, (ii) $2 p \rightarrow 1 \mathrm { s }$, (iii) $3 \mathrm { d } \rightarrow 2 \mathrm { p }$? (b) Which of the following transitions are allowed in the normal electronic emission spectrum of an atom: (i) $5 \mathrm { d } \rightarrow 2 \mathrm { s }$, (ii) $5 p \rightarrow 3 s$, (iii) $6 p \rightarrow 4 f$?