How to use this Electron radius (classical) to Bohr radius Converter π€
Follow these steps to convert given length from the units of Electron radius (classical) to the units of Bohr radius.
Enter the input Electron radius (classical) value in the text field.
The calculator converts the given Electron radius (classical) into Bohr radius in realtime β using the conversion formula, and displays under the Bohr radius label. You do not need to click any button. If the input changes, Bohr radius value is re-calculated, just like that.
You may copy the resulting Bohr radius 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 Electron radius (classical) to Bohr radius?
The formula to convert given length from Electron radius (classical) to Bohr radius is:
Substitute the given value of length in electron radius (classical) , i.e., Length(Electron radius (classical) ) in the above formula and simplify the right-hand side value. The resulting value is the length in bohr radius, i.e., Length(Bohr radius).
Calculation
Calculation will be done after you enter a valid input.
Examples
1
Consider that the classical radius of an electron is 1 electron radius (classical). Convert this radius from electron radius (classical) to Bohr radius.
Answer:
Given:
The length in electron radius (classical) is:
Length(Electron radius (classical) ) = 1
Formula:
The formula to convert length from electron radius (classical) to bohr radius is:
Substitute given weight Length(Electron radius (classical) ) = 1 in the above formula.
Length(Bohr radius) = 1 / 18778.86243953252
Length(Bohr radius) = 0.0000532513619086
Final Answer:
Therefore, 1 electron radius is equal to 0.0000532513619086 b.
The length is 0.0000532513619086 b, in bohr radius.
2
Consider that a quantum calculation results in a distance of 3 electron radii (classical). Convert this distance from electron radii (classical) to Bohr radius.
Answer:
Given:
The length in electron radius (classical) is:
Length(Electron radius (classical) ) = 3
Formula:
The formula to convert length from electron radius (classical) to bohr radius is:
Substitute given weight Length(Electron radius (classical) ) = 3 in the above formula.
Length(Bohr radius) = 3 / 18778.86243953252
Length(Bohr radius) = 0.0001597540857259
Final Answer:
Therefore, 3 electron radius is equal to 0.0001597540857259 b.
The length is 0.0001597540857259 b, in bohr radius.
Electron radius (classical) to Bohr radius Conversion Table
The following table gives some of the most used conversions from Electron radius (classical) to Bohr radius.
Electron radius (classical) (electron radius)
Bohr radius (b)
0 electron radius
0 b
1 electron radius
0.00005325136b
2 electron radius
0.00010650272b
3 electron radius
0.00015975409b
4 electron radius
0.00021300545b
5 electron radius
0.00026625681b
6 electron radius
0.00031950817b
7 electron radius
0.00037275953b
8 electron radius
0.0004260109b
9 electron radius
0.00047926226b
10 electron radius
0.00053251362b
20 electron radius
0.00106502724b
50 electron radius
0.0026625681b
100 electron radius
0.00532513619b
1000 electron radius
0.05325136191b
10000 electron radius
0.5325b
100000 electron radius
5.3251b
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.
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.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Electron radius (classical) to Bohr radius in Length?
The formula to convert Electron radius (classical) to Bohr radius in Length is:
Electron radius (classical) / 18778.86243953252
2. Is this tool free or paid?
This Length conversion tool, which converts Electron radius (classical) to Bohr radius, is completely free to use.
3. How do I convert Length from Electron radius (classical) to Bohr radius?
To convert Length from Electron radius (classical) to Bohr radius, you can use the following formula:
Electron radius (classical) / 18778.86243953252
For example, if you have a value in Electron radius (classical) , you substitute that value in place of Electron radius (classical) in the above formula, and solve the mathematical expression to get the equivalent value in Bohr radius.
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