Benzene’s bond lengths corrected
chemistryworld.com
chemistryworld.com
Assuming 2.5mm per month (quick google search), that's 2.5e+7 angstrom/month
Divide by the number of seconds in a month (30 * 24 * 3600) and you get about 10 angstroms per second. It takes about 1 second to say 10 angstroms. Very cool!
Incidentally, it's worth remembering we owe the beginnings of this story to August Kekulé's remarkable insight-benzene's structure and the snake swallowing its tail. That too is also unforgettable information (but likely more useful, methinks).
Take a look at my reply to alliao. Can you imagine thousands of pages like that? Not likely. I'm far from being the brightest spark on the block but I'm smart enough to know I'd be chased off in a greased lightning sprint.
...But you've seeded an idea, some of it could be used as a substitute for Vogon poetry (shame on you).
Honi soit qui mal y pense.
;-)
It's an excellent metaphor because that's what happens. Over the years I've noted many times that some facts (even seemingly irrelevant ones) in one field can play an important role in me understanding a concept in a totally different (and often unrelated) one. The trouble is that I've never had a photographic memory so all too frequently when I encounter something new then I can be left thinking 'now I recognize that from something I've come across previously but where?'. It's a nuisance but I put it down to my brain's 'garbage collection mechanism' being overly efficient.
Sometimes it's also a burden especially when you can't mentally discard or turn off an old 'connection' as it can become annoying. Here's an example you might appreciate. It's well known fact there's a propensity for English language speakers to steal words from other languages then incorporate them effortlessly into English as if they'd always been there—simply because the foreign imports sound fashionable or posh—and that this practice happens even when well-known and perfectly adequate English words or phrases exist. The trouble is that inevitably they never take the time or effort to pronounce these imports correctly. (Right, it's no wonder English is such a bastard language).
When in Japan years ago I learned to pronounce tsu - つ, ツ - perhaps not perfectly but likely better than many Westerners/English speakers do who have never been there. Nowadays, the transliteration of the Japanese word ツナミ is more commonly used in English than its original native counterpart! Unfortunately, the trouble is that almost no native English speaker takes the time or effort to pronounce tsu correctly even though the Latin characters provide a reasonable facsimile of/guide to its correct pronunciation (even those who've much better diction than me—BBC announcers for instance—usually make a mess of it).
Thus, whenever I hear a slurred-out overly-long tsu it inevitably grates with me. If I'd never learned the correct Japanese pronunciation, which, given that I'm a native English speaker (thus it's essentially useless information), then I could be blissfully ignorant of the fact just like everyone else. ;-)
No doubt, having provided the phrase 'まめちしき', you are also aware of the difficulty we native English speakers have in pronouncing tsu. I often wonder what the Japanese think of us given that we're so efficient at mashing up their language and that we don't give a damn about doing so. It annoys me is that we've the hide and arrogance to adopt the word ツナミ then just mangle its pronunciation. In my opinion adopting and incorporating a word from another language and being insensitive or oblivious to its cultural significance is both rude and indicates ignorance. (Here, I make a distinction between incorporating a word into another language and say those who are learning another language and who are having difficulty in pronouncing words in that newly-acquired language).
BTW, I don't want to give you the impression that I'm fluent in Japanese as I'm not. Some decades ago, I worked in Japan for a short while but I was never there long enough to acquire an adequate understanding of the language let alone gain fluency. Also, I'm aware that I've a mixture of hiragana and katakana here (kanji is too complicated for me to deal with here). One curiosity I've never quite figured out (except perhaps that it's traditional), which is to ask why a certain formalism seems to have been adopted in the naming of Japanese cities. Why do cities and towns [seemingly] nearly always use kanji for their names (and not hiragana or katakana although there are exceptions); and why do most major cities use two kanji characters whereas smaller cities often use three or even four characters—or sometimes only one (as in the city of Tsu)? I can't remember Tsu's kanji name (character) but I do recall it was a sort of exception in that the hiragana character tsu, つ, is also sometimes used, which seems a little strange to me (but it makes excellent sense [to me] if for no other reason than it seems like a good shortcut).
Milliangstroms? Lmao great name.
But seriously, SI already has appropriate units for these quantities. Milliangstroms should be converted to picometres, millimetres of mercury should be converted to kilopascals, kilotons of TNT should be converted to terajoules, and light-years should be converted to petametres.
(that's about 38.6 days for the curious)
Just because they're pretty, here's a link to the SDO gallery: https://sdo.gsfc.nasa.gov/gallery/main
Also, the SDO takes an image through each filter as it rotates through the filter wheel, IIRC, it takes 15 minutes to rotate through them all. They are then made available for each filter at different resolutions. Being the hacker-ish type, I wrote a script to use curl to download the image sequences for chosen filter/framesize for the sun's full rotation to create a one day timelapse.
When you have a jumble of units, it is hard to relate them. If an acre of land gets an inch of rain, how many gallons of water is that? If you did this in millimetres, metres, and cubic metres, it is easy.
If your car's motor is rated in horsepower but electricity is measured in kilowatts, how do you compare those?
What about fitting copies of a product measured in ounces in a shipping container measured in short tons?
Typesetting measured in points, but paper measured in inches?
Fitting metalwork done in mils but woodwork done in binary-fraction inches in a house measured in feet?
The list goes on and on. It's easy to say "but my domain is special and deserves its own units". It's much harder to resist and say no, there is a perfectly suitable unit with power-of-1000 prefixes to use in your application.
I disagree with this one. A ton of TNT is much more easily understood vs some measurement of energy that no normal human has any capacity of understanding.
Also, milliangstroms vs picometers. if you are already using angstroms, then dividing it by milli makes sense.
From here: https://unsaferguard.org/un-saferguard/blast-damage-estimati...
26 meters fatal distance, 83 or 142 meters buildings destroyed
My estimates are more appropriate for a 20-30 ton explosion, it seems.
Here the use of milliangstroms easily conveys the information that bond lengths are measured in angstroms and thus this is a very small correction, picometers would not convey that to anyone not already familiar with typical bond lengths.
Angstroms are needless jargon because nanometres already cover roughly the same scale. Do you want to go back to the bad old days when every town had its own definition of feet and pounds, and consumers were routinely cheated through the use of confusing and obfuscated units?
Your claim that I'm only advocating these units because they're common in media is ignoring the fact that these are also very common as formal units in their respective fields. Another great example is AU, no one has seen what 1AU exactly is, but everyone can intuitively understand that 5AU means 5x further from the Sun than the Earth is, 0.74 terameters conveys absolutely nothing on its own and even for someone who is aware that 1AU=0.15 terameters, it takes a bit of extra mental effort to obtain the same information while not really adding anything because '1AU=0.15 terameters' is fundamental knowledge in the field anyway.
This is not going back to the old days of units for two big reasons, they have important meaning within their field and there is widespread knowledge of conversion factors. Normalized units are also very popular in physics as they simplify the math and are more intuitive due to being directly tied to physical properties.
Hell, even going back to the old metric vs imperial debate, there were very good benefits to the imperial system back when calculators were rare as multiples of 12s were more convenient to divide in the most common fractions (2, 3, 4, 6). Even now our clocks are based on those multiples due to their convenience for general use.
Saying 1.09e-10 meters is fine, I guess, but it's a lot easier and more intuitive to think in terms of units of CH (plus 10%), especially when you're talking about more than one.
Remembering that CH is about 1Å and CC is about 1.5Å is such a basic approximation that it's become universal.
1ft per nanosecond. (Okay, 11.8 inches.)
There’s also reasons that the speed of light is the “natural” speed to discuss large distances in — particularly astronomical ones.
https://www.wolframalpha.com/input?i=%28speed+of+light%29*%2...
eg Bohr radius is roughly half an angstrom and width of H2 gas is just under 3A
By expressing them in pm they actually lose some context as then they're all just numbers.
Daltons is a similar concept that springs to mind
You’re being pedantic, and incorrectly so at that.
I agree pm is a better choice than mÅ, but I’m not positive mÅ wouldn’t pass NIST internal review, especially if it’s in common use in the field.
It is also called a "resonant structure" as the double bonds are said to flip in the ring of carbon atoms.
...or, at least, that was what I heard in high school organic chemistry. That was a very long time ago, and interpretations might have changed.
But that's my layman's knowledge. I'd like to be corrected!
Superposition of two states is not preserved by measurement: it's more akin to a (complex, not real) probability you'll find the system of one of the states.
By contrast, resonant bonds are a real mixing of the two states: you don't observe the carbon-carbon bonds in a benzene molecule as either being a single bond or a double bond, you observe them as a uniform bond that's somewhere between a single bond and a double bond (e.g., bond length). Treating such things as a weighted average of various resonance structures is a usable approximation that allows you to predict the structure of more molecules without having to dive deep into molecular orbital theory.
‘And as this technique can be applied to highly symmetric molecules, it opens the door to the characterisation of many chemically important species like polycyclic aromatic hydrocarbons.’ - a researcher quoted in the article
11.5 mÅ = 1.15e-12 m
That’s a mind boggling measurement.
It’s possible that some forcefield constants will need to be tweaked in MD jobs, but this is a really small change in the bond length.
[0]: https://en.wiktionary.org/wiki/%C3%85ngstr%C3%B6m#Pronunciat...
There is a perfectly sensible nearby SI unit called the picometre (pm). 10 mÅ = 1 pm. https://en.wikipedia.org/wiki/Picometre
As a side note, I heard of carpenters who work in decimal feet. Yeah, that's great, adding yet another option to the mix. Everyone else talks in feet and inches.
If you are designing a large steel piece for milling, you will write a length of 1000mm, not 1m.
1000mm and 1.000m are the same length.
> 120.0000 consists of six significant figures (1, 2, and the four subsequent zeroes) except for the last zero If the resolution is to 0.001.
> Zeros to the right of the last non-zero digit (trailing zeros) in a number with the decimal point are significant if they are within the measurement or reporting resolution.
> 1.200 has four significant figures (1, 2, 0, and 0) if they are allowed by the measurement resolution.
and
> Trailing zeros in an integer may or may not be significant, depending on the measurement or reporting resolution.
So my first example "1m and 1000mm" actually might be the same length, depending on if those zeros are significant or not which has not been clearly communicated.
My second example "1000mm and 1.000m" is also ambiguous, since 1.000m is clear(ish) about its sig-figs, while 1000mm is not. I suppose I could have written "1000. mm"
Best solution imo would probably be:
- something that actually specified the error: 1m ± 0.0001m
- or using words to indicate what's meant: "exactly 1000mm"
The sig figs in 1.0E3mm, 1E3mm, or 1.000000E3mm are unambiguous.
in my experience, it’s always better to eschew them entirely and simply write an explicit error margin
That one would certainly lead to you getting something other than you are trying to design. Unless the machinist misreads it, or it gets assigned to that one machinist that likes searching people out and talking to them.
1000.0 mm would be the same as 1.000m (or is it 1.0000?).
1000m has ambiguous sig figs.
> Benzene’s bond lengths corrected
First, passive voice should not be used when avoidable.
Second, the bond lengths are fine. It's the measurement that was wrong.