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Chapter 8: Q51E (page 342)

Were it to follow the standard pattern, what would be the electronic configuration of element 119.

Short Answer

Expert verified

The resultant answer is

$1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{10} 4 s^{2} 4 p^{6} 4 d^{10} 4 f^{14} 5 s^{2} 5 p^{6} 5 d^{10} 5 f^{14} 6 s^{2} 6 p^{6} 6 d^{10} 7 s^{2} 7 p^{6} 8 s^{1}$

Step by step solution

01

Given data

The given data is an element of 119.

02

Concept of Electronic configuration

Electronic configuration, also called electronic structure, the arrangement of electrons in energy levels around an atomic nucleus.

03

Determine the electronic configuration

The electronic configuration of the element with $Z = 119$ will be:

$1 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 3 d^{10} 4 s^{2} 4 p^{6} 4 d^{10} 4 f^{14} 5 s^{2} 5 p^{6} 5 d^{10} 5 f^{14} 6 s^{2} 6 p^{6} 6 d^{10} 7 s^{2} 7 p^{6} 8 s^{1}$

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Most popular questions from this chapter

Imagine two indistinguishable particles that share an attraction. All other things being equal, would you expect their multiparticle spatial state to be symmetric, ant symmetric, or neither? Explain.

A lithium atom has three electrons. These occupy individual particle states corresponding to the sets of four quantum numbers given by .

$(n, l, m_{l}, m_{j}) = (1, 0, 0, + \frac{1}{2}), (1, 0, 0, - \frac{1}{2}) and (2, 0, 0, + \frac{1}{2})$

Using $ψ_{1, 0, 0} (r_{j}) ↑, ψ_{1, 0, 0} (r_{j}) ↓, and ψ_{2, 0, 0} (r_{j}) ↑$ to represent the individual-particle states when occupied by particle $j$ . Apply the Slater determinant discussed in Exercise 42 to find an expression for an antisymmetric multiparticle state. Your answer should be sums of terms like .

$ψ_{1, 0, 0} (r_{1}) ↑, ψ_{1, 0, 0} (r_{2}) ↓, and ψ_{2, 0, 0} (r_{3}) ↑$

The general rule for adding angular momenta is given in Exercise 66, when adding angular momenta with $j_{1} = 2$ and $j_{2} = \frac{3}{2}$

(a) What are the possible values of the quantum number $j_{T}$ and the total angular momentum $j_{T}$ .

(b) How many different states are possible and,

(c) What are the $(j_{T}, {m_{j}}_{T})$ values for each of these states?

Question: What if electrons were spin $\frac{3}{2}$ instead of spin $\frac{1}{2}$ . What would be Z for the first noble gas?

Two particles in a box have a total energy $5 π^{2} ℏ^{2} / 2 {mL}^{2}$ .

(a) Which states are occupied?

(b) Make a sketch of $P_{5} (x_{1}, x_{2})$ versus $x_{1}$ for points along the line $x_{2} = x_{1}$ .

(c) Make a similar sketch of $P_{A} (x_{1}, x_{2})$ .

(d) Repeat parts (b) and (c) but for points on the line $x_{2} = L - x_{1}$

See all solutions

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