Bohr radius to Centimeters Converter

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How to use this Bohr radius to Centimeters Converter πŸ€”

Follow these steps to convert given length from the units of Bohr radius to the units of Centimeters.

Bohr radius to Centimeters Converter | b to cm
  1. Enter the input Bohr radius value in the text field.
  2. The calculator converts the given Bohr radius into Centimeters in realtime ⌚ using the conversion formula, and displays under the Centimeters label. You do not need to click any button. If the input changes, Centimeters value is re-calculated, just like that.
  3. You may copy the resulting Centimeters value using the Copy button.
  4. To view a detailed step by step calculation of the conversion, click on the View Calculation button.
  5. 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 Centimeters?

The formula to convert given length from Bohr radius to Centimeters is:

Length(Centimeters) = Length(Bohr radius) / 188972598.86

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 centimeters, i.e., Length(Centimeters).

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 Centimeters.

Answer:

Given:

The length in bohr radius is:

Length(Bohr radius) = 2

Formula:

The formula to convert length from bohr radius to centimeters is:

Length(Centimeters) = Length(Bohr radius) / 188972598.86

Substitution:

Substitute given weight Length(Bohr radius) = 2 in the above formula.

Length(Centimeters) = 2 / 188972598.86

Length(Centimeters) = 1.0583545e-8

Final Answer:

Therefore, 2 b is equal to 1.0583545e-8 cm.

The length is 1.0583545e-8 cm, in centimeters.

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 Centimeters.

Answer:

Given:

The length in bohr radius is:

Length(Bohr radius) = 3.5

Formula:

The formula to convert length from bohr radius to centimeters is:

Length(Centimeters) = Length(Bohr radius) / 188972598.86

Substitution:

Substitute given weight Length(Bohr radius) = 3.5 in the above formula.

Length(Centimeters) = 3.5 / 188972598.86

Length(Centimeters) = 1.85212037e-8

Final Answer:

Therefore, 3.5 b is equal to 1.85212037e-8 cm.

The length is 1.85212037e-8 cm, in centimeters.

Bohr radius to Centimeters Conversion Table

The following table gives some of the most used conversions from Bohr radius to Centimeters.

Bohr radius (b)Centimeters (cm)
0 b0 cm
1 b5.29e-9 cm
2 b1.058e-8 cm
3 b1.588e-8 cm
4 b2.117e-8 cm
5 b2.646e-8 cm
6 b3.175e-8 cm
7 b3.704e-8 cm
8 b4.233e-8 cm
9 b4.763e-8 cm
10 b5.292e-8 cm
20 b1.0584e-7 cm
50 b2.6459e-7 cm
100 b5.2918e-7 cm
1000 b0.00000529177 cm
10000 b0.00005291772 cm
100000 b0.00052917725 cm

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.

Centimeters

A centimeter (cm) is a unit of length in the International System of Units (SI). One centimeter is equivalent to 0.01 meters or approximately 0.3937 inches.

The centimeter is defined as one-hundredth of a meter, making it a convenient measurement for smaller lengths.

Centimeters are used worldwide to measure length and distance in various fields, including science, engineering, and everyday life. They are commonly used in everyday measurements, such as height, width, and depth of objects, as well as in educational settings.

Frequently Asked Questions (FAQs)

1. What is the formula for converting Bohr radius to Centimeters in Length?

2. Is this tool free or paid?

3. How do I convert Length from Bohr radius to Centimeters?