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Bohr radius to Nanometers Converter

Enter Bohr radius

b

Nanometers

nm

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⇅ Switch toNanometers to Bohr radius Converter

How to use this Bohr radius to Nanometers Converter 🤔

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

1. Enter the input Bohr radius value in the text field.
2. The calculator converts the given Bohr radius into Nanometers in realtime ⌚ using the conversion formula, and displays under the Nanometers label. You do not need to click any button. If the input changes, Nanometers value is re-calculated, just like that.
3. You may copy the resulting Nanometers 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 Nanometers?

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

Length_(Nanometers) = Length_{(Bohr radius)} / 18.897259886

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 nanometers, i.e., Length_(Nanometers).

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 Nanometers.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 2

Formula:

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

Length_(Nanometers) = Length_{(Bohr radius)} / 18.897259886

Substitution:

Substitute given weight Length_{(Bohr radius)} = 2 in the above formula.

Length_(Nanometers) = 2 / 18.897259886

Length_(Nanometers) = 0.1058

Final Answer:

Therefore, 2 b is equal to 0.1058 nm.

The length is 0.1058 nm, in nanometers.

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 Nanometers.

Answer:

Given:

The length in bohr radius is:

Length_{(Bohr radius)} = 3.5

Formula:

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

Length_(Nanometers) = Length_{(Bohr radius)} / 18.897259886

Substitution:

Substitute given weight Length_{(Bohr radius)} = 3.5 in the above formula.

Length_(Nanometers) = 3.5 / 18.897259886

Length_(Nanometers) = 0.1852

Final Answer:

Therefore, 3.5 b is equal to 0.1852 nm.

The length is 0.1852 nm, in nanometers.

Bohr radius to Nanometers Conversion Table

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

Bohr radius (b)	Nanometers (nm)
0 b	0 nm
1 b	0.0529177249 nm
2 b	0.1058 nm
3 b	0.1588 nm
4 b	0.2117 nm
5 b	0.2646 nm
6 b	0.3175 nm
7 b	0.3704 nm
8 b	0.4233 nm
9 b	0.4763 nm
10 b	0.5292 nm
20 b	1.0584 nm
50 b	2.6459 nm
100 b	5.2918 nm
1000 b	52.9177 nm
10000 b	529.1772 nm
100000 b	5291.7725 nm

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 × 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.

Nanometers

A nanometer (nm) is a unit of length in the International System of Units (SI). One nanometer is equivalent to 0.000000001 meters or approximately 0.00000003937 inches.

The nanometer is defined as one-billionth of a meter, making it an extremely precise measurement for very small distances.

Nanometers are used worldwide to measure length and distance in various fields, including science, engineering, and technology. They are especially important in fields that require precise measurements at the atomic and molecular scale, such as nanotechnology, semiconductor fabrication, and materials science.

Frequently Asked Questions (FAQs)

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

2. Is this tool free or paid?

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

{
  "conversion": "bohr_radius-nanometers",
  "x_slug": "bohr_radius",
  "y_slug": "nanometers",
  "x": "b",
  "y": "nm",
  "x_desc": "Bohr radius",
  "y_desc": "Nanometers",
  "category": "Length",
  "symbol": "m",
  "formula": "x / 18.897259886",
  "precision": 16,
  "examples": "<div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">1</span>\n        <h3 class=\"question\">Consider that an electron in a hydrogen atom is found at 2 Bohr radii from the nucleus.<br>Convert this distance from Bohr radii to Nanometers.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The length  in bohr radius is:</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span>  = 2</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert length from bohr radius to nanometers is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Nanometers)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 18.897259886</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Length<sub>(Bohr radius)</sub> = 2</strong> in the above formula.</p>\n        <p class=\"step\"><span>Length<sub>(Nanometers)</sub></span> = <span>2</span> / 18.897259886</p>\n        <p class=\"step\"><span>Length<sub>(Nanometers)</sub></span> = 0.1058</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>2 b</strong> is equal to <strong>0.1058 nm</strong>.</p>\n        <p>The length  is <strong>0.1058 nm</strong>, in nanometers.</p>\n        </div>\n      <div class=\"example\">\n        <div class=\"example_head\"><span class=\"example_n\">2</span>\n        <h3 class=\"question\">Consider that a quantum state calculation places an electron 3.5 Bohr radii away from the nucleus.<br>Convert this distance from Bohr radii to Nanometers.</h3></div>\n        <h4 class=\"answer\">Answer:</h4>\n        <p><strong>Given:</strong></p>\n        <p>The length  in bohr radius is:</p>\n        <p class=\"step\"><span>Length<sub>(Bohr radius)</sub></span>  = 3.5</p>\n        <p><strong>Formula:</strong></p>\n        <p>The formula to convert length from bohr radius to nanometers is:</p>\n        <p class=\"formula step\"><span>Length<sub>(Nanometers)</sub></span> = <span>Length<sub>(Bohr radius)</sub></span> / 18.897259886</p>\n        <p><strong>Substitution:</strong></p>\n        <p>Substitute given weight  <strong>Length<sub>(Bohr radius)</sub> = 3.5</strong> in the above formula.</p>\n        <p class=\"step\"><span>Length<sub>(Nanometers)</sub></span> = <span>3.5</span> / 18.897259886</p>\n        <p class=\"step\"><span>Length<sub>(Nanometers)</sub></span> = 0.1852</p>\n        <p><strong>Final Answer:</strong></p>\n        <p>Therefore, <strong>3.5 b</strong> is equal to <strong>0.1852 nm</strong>.</p>\n        <p>The length  is <strong>0.1852 nm</strong>, in nanometers.</p>\n        </div>\n      ",
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  "img": "<img class=\"conversion\" src=\"/images/unit/length/bohr_radius-nanometers.webp\" height=\"360\" width=\"640\" alt=\"Bohr radius to Nanometers Converter | b to nm\" />",
  "table1n": "<h2><span class=\"x\">Bohr radius</span> to <span class=\"y\">Nanometers</span> Conversion Table</h2><p>The following table gives some of the most used conversions from Bohr radius to Nanometers.</p><table><thead><tr><th scope=\"column\" role=\"columnheader\">Bohr radius (<span class=\"unit\">b</span>)</th><th scope=\"column\" role=\"columnheader\">Nanometers (<span class=\"unit\">nm</span>)</th><tr></thead><tbody><tr><td>0 <span class=\"unit\">b</span></td><td>0 <span class=\"unit\">nm</span></td></tr><tr><td>1 <span class=\"unit\">b</span></td><td>0<span>.0529177249</span> <span class=\"unit\">nm</span></td></tr><tr><td>2 <span class=\"unit\">b</span></td><td>0<span>.1058</span> <span class=\"unit\">nm</span></td></tr><tr><td>3 <span class=\"unit\">b</span></td><td>0<span>.1588</span> <span class=\"unit\">nm</span></td></tr><tr><td>4 <span class=\"unit\">b</span></td><td>0<span>.2117</span> <span class=\"unit\">nm</span></td></tr><tr><td>5 <span class=\"unit\">b</span></td><td>0<span>.2646</span> <span class=\"unit\">nm</span></td></tr><tr><td>6 <span class=\"unit\">b</span></td><td>0<span>.3175</span> <span class=\"unit\">nm</span></td></tr><tr><td>7 <span class=\"unit\">b</span></td><td>0<span>.3704</span> <span class=\"unit\">nm</span></td></tr><tr><td>8 <span class=\"unit\">b</span></td><td>0<span>.4233</span> <span class=\"unit\">nm</span></td></tr><tr><td>9 <span class=\"unit\">b</span></td><td>0<span>.4763</span> <span class=\"unit\">nm</span></td></tr><tr><td>10 <span class=\"unit\">b</span></td><td>0<span>.5292</span> <span class=\"unit\">nm</span></td></tr><tr><td>20 <span class=\"unit\">b</span></td><td>1<span>.0584</span> <span class=\"unit\">nm</span></td></tr><tr><td>50 <span class=\"unit\">b</span></td><td>2<span>.6459</span> <span class=\"unit\">nm</span></td></tr><tr><td>100 <span class=\"unit\">b</span></td><td>5<span>.2918</span> <span class=\"unit\">nm</span></td></tr><tr><td>1000 <span class=\"unit\">b</span></td><td>52<span>.9177</span> <span class=\"unit\">nm</span></td></tr><tr><td>10000 <span class=\"unit\">b</span></td><td>529<span>.1772</span> <span class=\"unit\">nm</span></td></tr><tr><td>100000 <span class=\"unit\">b</span></td><td>5291<span>.7725</span> <span class=\"unit\">nm</span></td></tr></table>",
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  "y_long_desc": "A nanometer (nm) is a unit of length in the International System of Units (SI). One nanometer is equivalent to 0.000000001 meters or approximately 0.00000003937 inches. </p><p>The nanometer is defined as one-billionth of a meter, making it an extremely precise measurement for very small distances.</p><p>Nanometers are used worldwide to measure length and distance in various fields, including science, engineering, and technology. They are especially important in fields that require precise measurements at the atomic and molecular scale, such as nanotechnology, semiconductor fabrication, and materials science.",
  "x_long_desc": "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 × 10^(-11) meters or about 0.529 angstroms. </p><p>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.</p><p>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."
}