Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Shapes of orbitals are an approximate representation of boundaries in space for finding electrons occupied in that respective orbital. D orbitals are known to have a clover leaf shape or dumbbell inside where electrons can be found.
Question
Use the red wavelength of 650nm, assuming the ground state of the electron is energy level nf=2, calculate (ni).
R=1.097 x 10^7 m-1
nf =2
![The image presents a mathematical equation, which is structured as follows:
The variable \( n_i \) is defined by the expression:
\[
n_i = \sqrt{\frac{n_f^2 \lambda R}{\lambda R - n_f^2}}
\]
Here is the breakdown of the equation:
- \( n_i \) is the resultant variable on the left side of the equation.
- The right side of the equation features a square root.
- Inside the square root, the fraction denotes the division of two expressions:
- The numerator is \( n_f^2 \lambda R \).
- The denominator is \( \lambda R - n_f^2 \).
In this expression:
- \( n_f \) might represent a value such as a refractive index or another parameter in a scientific context, which is squared.
- \( \lambda \) and \( R \) are other parameters or constants that interact with \( n_f \) in the equation.
This type of equation might be utilized in fields such as optics or physics to describe relationships involving refractive indices or wave properties.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F98f4f7b9-70b3-4d15-8afc-3e235681bb40%2F36a2bf20-f3c0-4c78-8779-0774d62ba185%2F71ryjp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image presents a mathematical equation, which is structured as follows:
The variable \( n_i \) is defined by the expression:
\[
n_i = \sqrt{\frac{n_f^2 \lambda R}{\lambda R - n_f^2}}
\]
Here is the breakdown of the equation:
- \( n_i \) is the resultant variable on the left side of the equation.
- The right side of the equation features a square root.
- Inside the square root, the fraction denotes the division of two expressions:
- The numerator is \( n_f^2 \lambda R \).
- The denominator is \( \lambda R - n_f^2 \).
In this expression:
- \( n_f \) might represent a value such as a refractive index or another parameter in a scientific context, which is squared.
- \( \lambda \) and \( R \) are other parameters or constants that interact with \( n_f \) in the equation.
This type of equation might be utilized in fields such as optics or physics to describe relationships involving refractive indices or wave properties.
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