How to use this Bohr radius to Electron radius (classical) Converter π€
Follow these steps to convert given length from the units of Bohr radius to the units of Electron radius (classical) .
Enter the input Bohr radius value in the text field.
The calculator converts the given Bohr radius into Electron radius (classical) in realtime β using the conversion formula, and displays under the Electron radius (classical) label. You do not need to click any button. If the input changes, Electron radius (classical) value is re-calculated, just like that.
You may copy the resulting Electron radius (classical) value using the Copy button.
To view a detailed step by step calculation of the conversion, click on the View Calculation button.
You can also reset the input by clicking on Reset button present below the input field.
What is the Formula to convert Bohr radius to Electron radius (classical) ?
The formula to convert given length from Bohr radius to Electron radius (classical) is:
Substitute the given value of length in bohr radius, i.e., Length(Bohr radius) in the above formula and simplify the right-hand side value. The resulting value is the length in electron radius (classical) , i.e., Length(Electron radius (classical) ).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that an electron in a hydrogen atom is found at 2 Bohr radii from the nucleus. Convert this distance from Bohr radii to Electron radius (classical) .
Answer:
Given:
The length in bohr radius is:
Length(Bohr radius) = 2
Formula:
The formula to convert length from bohr radius to electron radius (classical) is:
Therefore, 2 b is equal to 37557.7249 electron radius.
The length is 37557.7249 electron radius, in electron radius (classical) .
2
Consider that a quantum state calculation places an electron 3.5 Bohr radii away from the nucleus. Convert this distance from Bohr radii to Electron radius (classical) .
Answer:
Given:
The length in bohr radius is:
Length(Bohr radius) = 3.5
Formula:
The formula to convert length from bohr radius to electron radius (classical) is:
Therefore, 3.5 b is equal to 65726.0185 electron radius.
The length is 65726.0185 electron radius, in electron radius (classical) .
Bohr radius to Electron radius (classical) Conversion Table
The following table gives some of the most used conversions from Bohr radius to Electron radius (classical) .
Bohr radius (b)
Electron radius (classical) (electron radius)
0 b
0 electron radius
1 b
18778.8624electron radius
2 b
37557.7249electron radius
3 b
56336.5873electron radius
4 b
75115.4498electron radius
5 b
93894.3122electron radius
6 b
112673.1746electron radius
7 b
131452.0371electron radius
8 b
150230.8995electron radius
9 b
169009.762electron radius
10 b
187788.6244electron radius
20 b
375577.2488electron radius
50 b
938943.122electron radius
100 b
1877886.244electron radius
1000 b
18778862.4395electron radius
10000 b
187788624.3953electron radius
100000 b
1877886243.9533electron radius
Bohr radius
The Bohr radius is a fundamental unit of length used in atomic physics to describe the size of the ground state orbit of an electron around a proton in a hydrogen atom. One Bohr radius is approximately 5.29177 Γ 10^(-11) meters or about 0.529 angstroms.
The Bohr radius is derived from the Bohr model of the atom, which describes the electron's orbit as quantized and stable. It provides a characteristic length scale for the electron's position in its lowest energy state, known as the ground state.
The Bohr radius is used in atomic and quantum physics to understand the size of atoms, atomic orbitals, and the fundamental structure of matter. It is a key parameter in the Bohr model and provides insight into the scale of atomic interactions and energy levels.
Electron radius (classical)
The classical electron radius is a theoretical value that represents the size of an electron as determined by classical electrodynamics. One classical electron radius is approximately 2.817 Γ 10^(-15) meters or 2.817 femtometers.
The classical electron radius is derived from the electron's charge and mass, assuming a spherical distribution of charge. It represents a theoretical scale for the electron, providing a reference for understanding its interactions with other particles and fields.
The classical electron radius is used in various contexts in particle physics and electromagnetism to estimate the size of the electron based on classical physics principles. While it is not a directly measurable quantity, it serves as a useful theoretical construct for understanding electron interactions and properties.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Bohr radius to Electron radius (classical) in Length?
The formula to convert Bohr radius to Electron radius (classical) in Length is:
Bohr radius / 0.00005325136190863401
2. Is this tool free or paid?
This Length conversion tool, which converts Bohr radius to Electron radius (classical) , is completely free to use.
3. How do I convert Length from Bohr radius to Electron radius (classical) ?
To convert Length from Bohr radius to Electron radius (classical) , you can use the following formula:
Bohr radius / 0.00005325136190863401
For example, if you have a value in Bohr radius, you substitute that value in place of Bohr radius in the above formula, and solve the mathematical expression to get the equivalent value in Electron radius (classical) .
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