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Chapter 41: Q. 2 (page 1206)

What is the difference between the probability density and the radial probability density?

Short Answer

Expert verified

The difference between the probability density and the radial probability density is proved below.

Step by step solution

01

Given Information

We need to find the difference between the probability density and the radial probability density.

02

Explanation

Now, in three-dimensional space, the probability density ${|ψ (x, y, z)|}^{2}$ is the like of finding an electron in a volume $σ V$ ta a given position $x, y, z$ . The radial probability density ${|R_{n l}|}^{2}$ is like of finding an electron at the distance $r$ from the origin. then, both have units of ${(l e n g t h)}^{- 3}$

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Most popular questions from this chapter

List the quantum numbers, excluding spin, of

(a) all possible $3 p$ states and

(b) all possible $3 d$ states.

Calculate (a) the radial wave function and (b) the radial probability density at $r = \frac{1}{2} a_{B}$ for an electron in the $1 s$ state of hydrogen. Give your answers in terms of $a_{B}$

A ruby laser emits a $100 M W$ , $10 - n s$ -long pulse of light with a wavelength of $690 n m$ . How many chromium atoms undergo stimulated emission to generate this pulse?

Predict the ground-state electron configurations of $M g, S r$ and $B a$ ?

The $5 d \to 3 p$ transition in the emission spectrum of sodium has a wavelength of $499 n m$ .What is the energy of the $5 d$ state ?

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