How to use this Bohr radius to Decimeters Converter π€
Follow these steps to convert given length from the units of Bohr radius to the units of Decimeters.
Enter the input Bohr radius value in the text field.
The calculator converts the given Bohr radius into Decimeters in realtime β using the conversion formula, and displays under the Decimeters label. You do not need to click any button. If the input changes, Decimeters value is re-calculated, just like that.
You may copy the resulting Decimeters 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 Decimeters?
The formula to convert given length from Bohr radius to Decimeters 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 decimeters, i.e., Length(Decimeters).
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 Decimeters.
Answer:
Given:
The length in bohr radius is:
Length(Bohr radius) = 2
Formula:
The formula to convert length from bohr radius to decimeters is:
Substitute given weight Length(Bohr radius) = 2 in the above formula.
Length(Decimeters) = 2 / 1889725988.6
Length(Decimeters) = 1.0583545e-9
Final Answer:
Therefore, 2 b is equal to 1.0583545e-9 dm.
The length is 1.0583545e-9 dm, in decimeters.
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 Decimeters.
Answer:
Given:
The length in bohr radius is:
Length(Bohr radius) = 3.5
Formula:
The formula to convert length from bohr radius to decimeters is:
Substitute given weight Length(Bohr radius) = 3.5 in the above formula.
Length(Decimeters) = 3.5 / 1889725988.6
Length(Decimeters) = 1.8521204e-9
Final Answer:
Therefore, 3.5 b is equal to 1.8521204e-9 dm.
The length is 1.8521204e-9 dm, in decimeters.
Bohr radius to Decimeters Conversion Table
The following table gives some of the most used conversions from Bohr radius to Decimeters.
Bohr radius (b)
Decimeters (dm)
0 b
0 dm
1 b
5.3e-10dm
2 b
1.06e-9dm
3 b
1.59e-9dm
4 b
2.12e-9dm
5 b
2.65e-9dm
6 b
3.18e-9dm
7 b
3.7e-9dm
8 b
4.23e-9dm
9 b
4.76e-9dm
10 b
5.29e-9dm
20 b
1.058e-8dm
50 b
2.646e-8dm
100 b
5.292e-8dm
1000 b
5.2918e-7dm
10000 b
0.00000529177dm
100000 b
0.00005291772dm
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.
Decimeters
A decimeter (dm) is a unit of length in the International System of Units (SI). One decimeter is equivalent to 0.1 meters or approximately 3.937 inches.
The decimeter is defined as one-tenth of a meter, making it a convenient measurement for intermediate lengths.
Decimeters are used worldwide to measure length and distance in various fields, including science, engineering, and everyday life. They provide a useful scale for measurements that are larger than centimeters but smaller than meters, and are commonly used in educational settings and certain industries.
Frequently Asked Questions (FAQs)
1. What is the formula for converting Bohr radius to Decimeters in Length?
The formula to convert Bohr radius to Decimeters in Length is:
Bohr radius / 1889725988.6
2. Is this tool free or paid?
This Length conversion tool, which converts Bohr radius to Decimeters, is completely free to use.
3. How do I convert Length from Bohr radius to Decimeters?
To convert Length from Bohr radius to Decimeters, you can use the following formula:
Bohr radius / 1889725988.6
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 Decimeters.