Date: 11/12/2020 10:14:37
From: The Rev Dodgson
ID: 1662902
Subject: Unit conversion

A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?

Reply Quote

Date: 11/12/2020 10:17:55
From: Tamb
ID: 1662905
Subject: re: Unit conversion

The Rev Dodgson said:


A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?


Note the words most probable
The Bohr radius (a₀) is a physical constant, equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state (non-relativistic and with an infinitely heavy proton). It is named after Niels Bohr, due to its role in the Bohr model of an atom. Its value is 5.29177210903(80)×10⁻¹¹ m.

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Date: 11/12/2020 10:23:28
From: The Rev Dodgson
ID: 1662910
Subject: re: Unit conversion

Tamb said:


The Rev Dodgson said:

A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?


Note the words most probable
The Bohr radius (a₀) is a physical constant, equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state (non-relativistic and with an infinitely heavy proton). It is named after Niels Bohr, due to its role in the Bohr model of an atom. Its value is 5.29177210903(80)×10⁻¹¹ m.

Thanks Tamb.

Where was that from?

I note the numbers on the end, and number of SF, are different.

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Date: 11/12/2020 10:25:50
From: The Rev Dodgson
ID: 1662913
Subject: re: Unit conversion

Also is there a source better than Wikipedia for getting a comprehensive list of conversion values?

Preferably in plain csv format or similar.

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Date: 11/12/2020 10:26:15
From: Tamb
ID: 1662914
Subject: re: Unit conversion

The Rev Dodgson said:


Tamb said:

The Rev Dodgson said:

A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?

I just searched for your Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m and there are a heap of sites.


Note the words most probable
The Bohr radius (a₀) is a physical constant, equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state (non-relativistic and with an infinitely heavy proton). It is named after Niels Bohr, due to its role in the Bohr model of an atom. Its value is 5.29177210903(80)×10⁻¹¹ m.

Thanks Tamb.

Where was that from?

I note the numbers on the end, and number of SF, are different.

Reply Quote

Date: 11/12/2020 10:29:19
From: btm
ID: 1662916
Subject: re: Unit conversion

The Rev Dodgson said:


A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?

The (17) represents the uncertainty in the last two digits of the value, not additional figures.

Reply Quote

Date: 11/12/2020 10:34:04
From: The Rev Dodgson
ID: 1662922
Subject: re: Unit conversion

btm said:


The Rev Dodgson said:

A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?

The (17) represents the uncertainty in the last two digits of the value, not additional figures.

So +-17?

Reply Quote

Date: 11/12/2020 10:37:07
From: roughbarked
ID: 1662926
Subject: re: Unit conversion

The Rev Dodgson said:


A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?

How many decimal points does one need to include?

Reply Quote

Date: 11/12/2020 10:40:40
From: btm
ID: 1662930
Subject: re: Unit conversion

The Rev Dodgson said:


btm said:

The Rev Dodgson said:

A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?

The (17) represents the uncertainty in the last two digits of the value, not additional figures.

So +-17?

No, ±17×10-21; the last two digits of the value. That means the value is between 5.2917721075×10-11 and 5.2917721109×10-11

Reply Quote

Date: 11/12/2020 10:42:20
From: The Rev Dodgson
ID: 1662931
Subject: re: Unit conversion

roughbarked said:


The Rev Dodgson said:

A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?

How many decimal points does one need to include?

For most practical purposes 3 or 4 significant figures is fine, but I want to get the actual agreed number to however many numbers they have.

Reply Quote

Date: 11/12/2020 10:43:38
From: Tamb
ID: 1662933
Subject: re: Unit conversion

btm said:


The Rev Dodgson said:

btm said:

The (17) represents the uncertainty in the last two digits of the value, not additional figures.

So +-17?

No, ±17×10-21; the last two digits of the value. That means the value is between 5.2917721075×10-11 and 5.2917721109×10-11


Ah, yes. 2 × 17 =34

Reply Quote

Date: 11/12/2020 10:45:06
From: The Rev Dodgson
ID: 1662934
Subject: re: Unit conversion

btm said:


The Rev Dodgson said:

btm said:

The (17) represents the uncertainty in the last two digits of the value, not additional figures.

So +-17?

No, ±17×10-21; the last two digits of the value. That means the value is between 5.2917721075×10-11 and 5.2917721109×10-11

OK, that’s what I meant :)

Seems Tamb found a more precise figure then.

Reply Quote

Date: 11/12/2020 10:52:05
From: The Rev Dodgson
ID: 1662940
Subject: re: Unit conversion

Tamb said:


The Rev Dodgson said:

A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?


Note the words most probable
The Bohr radius (a₀) is a physical constant, equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state (non-relativistic and with an infinitely heavy proton). It is named after Niels Bohr, due to its role in the Bohr model of an atom. Its value is 5.29177210903(80)×10⁻¹¹ m.

Looks like it came from:
https://en.wikipedia.org/wiki/Bohr_radius

So the Wikipedia values are inconsistent by 8×10⁻22 m.

Reply Quote

Date: 11/12/2020 10:54:52
From: roughbarked
ID: 1662943
Subject: re: Unit conversion

The Rev Dodgson said:


Tamb said:

The Rev Dodgson said:

A question for all you scientists out there:

In the Wikipedia table of unit conversions, some factors have some numbers in brackets on the end, for instance:

= Bohr radius of hydrogen ≈ 5.2917721092(17)×10−11 m

Does the (17) represent an additional two significant figures that they are not really sure about, or what?


Note the words most probable
The Bohr radius (a₀) is a physical constant, equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state (non-relativistic and with an infinitely heavy proton). It is named after Niels Bohr, due to its role in the Bohr model of an atom. Its value is 5.29177210903(80)×10⁻¹¹ m.

Looks like it came from:
https://en.wikipedia.org/wiki/Bohr_radius

So the Wikipedia values are inconsistent by 8×10⁻22 m.

Nobody said wikipedia was perfect unless they said it about their own post.

Reply Quote

Date: 11/12/2020 13:51:05
From: The Rev Dodgson
ID: 1663075
Subject: re: Unit conversion

roughbarked said:


The Rev Dodgson said:

Tamb said:

Note the words most probable
The Bohr radius (a₀) is a physical constant, equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state (non-relativistic and with an infinitely heavy proton). It is named after Niels Bohr, due to its role in the Bohr model of an atom. Its value is 5.29177210903(80)×10⁻¹¹ m.

Looks like it came from:
https://en.wikipedia.org/wiki/Bohr_radius

So the Wikipedia values are inconsistent by 8×10⁻22 m.

Nobody said wikipedia was perfect unless they said it about their own post.

What?

You mean it isn’t The Answer to Everything?

Reply Quote

Date: 11/12/2020 14:09:36
From: roughbarked
ID: 1663085
Subject: re: Unit conversion

The Rev Dodgson said:


roughbarked said:

The Rev Dodgson said:

Looks like it came from:
https://en.wikipedia.org/wiki/Bohr_radius

So the Wikipedia values are inconsistent by 8×10⁻22 m.

Nobody said wikipedia was perfect unless they said it about their own post.

What?

You mean it isn’t The Answer to Everything?

Reply Quote

Date: 11/12/2020 14:13:55
From: roughbarked
ID: 1663090
Subject: re: Unit conversion

The Rev Dodgson said:


roughbarked said:

The Rev Dodgson said:

Looks like it came from:
https://en.wikipedia.org/wiki/Bohr_radius

So the Wikipedia values are inconsistent by 8×10⁻22 m.

Nobody said wikipedia was perfect unless they said it about their own post.

What?

You mean it isn’t The Answer to Everything?

]citation required[
fixed.

Reply Quote

Date: 11/12/2020 14:53:49
From: Ogmog
ID: 1663104
Subject: re: Unit conversion

The Rev Dodgson said:


roughbarked said:

The Rev Dodgson said:

Looks like it came from:
https://en.wikipedia.org/wiki/Bohr_radius

So the Wikipedia values are inconsistent by 8×10⁻22 m.

Nobody said wikipedia was perfect unless they said it about their own post.

What?

You mean it isn’t The Answer to Everything?

Wiki is a self correcting system
knowledge is corrected and added to over time

Reply Quote

Date: 11/12/2020 15:11:33
From: dv
ID: 1663119
Subject: re: Unit conversion

The (17) is the uncertainty in the last two digits.

5.2917721092(17)×10^-11^ m means between 5.2917721075 ×10^-11^ m and 5.2917721109×10^-11^ m

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Date: 11/12/2020 15:13:08
From: The Rev Dodgson
ID: 1663122
Subject: re: Unit conversion

dv said:


The (17) is the uncertainty in the last two digits.

5.2917721092(17)×10^-11^ m means between 5.2917721075 ×10^-11^ m and 5.2917721109×10^-11^ m

That’s just what btm said.

But thanks anyway :)

Reply Quote

Date: 11/12/2020 22:33:20
From: mollwollfumble
ID: 1663443
Subject: re: Unit conversion

btm said:


The Rev Dodgson said:

btm said:

The (17) represents the uncertainty in the last two digits of the value, not additional figures.

So +-17?

No, ±17×10-21; the last two digits of the value. That means the value is between 5.2917721075×10-11 and 5.2917721109×10-11

Thanks. I hadn’t know that. I’ve seen this notation oodles of times (eg. in Handbook of Chemistry and Physics) but never known what it meant.

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Date: 12/12/2020 02:31:59
From: SCIENCE
ID: 1663563
Subject: re: Unit conversion

roughbarked said:


The Rev Dodgson said:

roughbarked said:

Nobody said wikipedia was perfect unless they said it about their own post.

What?

You mean it isn’t The Answer to Everything?

[citation required]

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