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Author: Subject: Quantum Mechanics/Wave Mechanics in Chemistry Beginners Thread
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[*] posted on 29-11-2015 at 20:54


Quote: Originally posted by blogfast25  
Quote: Originally posted by aga  
I think your Input would be extremely valuable gdflp.

If blogfast25 and Darkstar have no objections, please join the Party !



Sure, no objections! :) In fact, it's much welcomed from my side.


No objections from me, either. I also welcome it.
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[*] posted on 29-11-2015 at 23:12


Quote: Originally posted by blogfast25  
Quote: Originally posted by aga  
Drawing it may be difficult as the notion of the orbitals' shape around each element is hard to imagine, let alone draw.


Use whatever means to draw stuff: manually drawn and scanned stuff works too.


If you guys are interested, BKChem and ChemSketch are both freeware molecular drawing programs. The former is what I used before I switched to ChemDraw Pro.

Learning how to quickly draw molecules and mechanisms and then save them as various kinds of images will take a little while at first, but once you master it, you'll never want to draw them any other way. For instance, in ChemDraw, if you wanted a benzene ring, instead of having to draw it manually, all you'd have to do is just click the benzene tool on the left toolbar and then click in the drawing space where you want to put it. Presto! And if you wanted to add a second benzene ring, say one that is fused to the first one (i.e. naphthalene), all you'd have to do is just click again, this time while hovering over one of the bonds on the side of the first benzene ring that you want the second one to connect to. So in other words, you can literally draw a 10-carbon naphthalene molecule with five double bonds in just three mouse clicks. Compare that to drawing it in MS Paint-in-the-ass!

Plus it's also nice to be able to just quickly clone molecules by highlighting them and then dragging the cursor away while holding ctrl (as opposed to manually redrawing them). This is especially useful when drawing mechanisms that involve larger molecules and intermediates (like in the phenolphthalein mechanism). I know you can clone in MS Paint the same way, but the difference is that you're cloning an image of the molecule, not the molecule itself. This means everything in the little dotted-line box gets cloned, background included.

Speaking of which, I can tell that blogfast used the clone feature (or copy and paste) in his phenolphthalein mechanism to make phenol. If you look closely at the phenol molecules, you'll notice that the two carbons on the right side of the benzene ring have tiny perpendicular lines protruding out from them. My guess is that they used to be part of phthalic anhydride, which he drew first. And then to make phenol, he highlighted the benzene section of phthalic anhydride and cloned/copied it. :P
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[*] posted on 30-11-2015 at 01:10


I got the free ChemSketch program installed now.

Seems relatively easy to use.

myfirst.png - 909B

The program stuck the + on all by itself when i added the H.

It was drawn all at right angles, then changed when i clicked on the 'Clean Structure' tool.

I cannot find a tool for drawing curved arrows. Any clues ?

Edit:-

myfirst.png - 1kB

Found it, but it's a bit of a faff.

Click Tools (top menu)
Click Pen Style Panel.
Choose a colour and thickness, then click Apply.

Click Draw (second button from top left, next to Structure)
Click the curved line on the left hand menu (chose how curved)
Click the straight right arrow

Now click on where you want the arrow to start and drag to where you want it to end (It will look silly).
Click the 'select' arrow under the top left Structure button.
Click on your new arrow.
Mess with the resizing dots until it looks as you want it.

[Edited on 30-11-2015 by aga]




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[*] posted on 30-11-2015 at 07:20


Quote: Originally posted by aga  
I got the free ChemSketch program installed now.

Seems relatively easy to use.



Aha. Drawback is that we now have plenty assignments for aga coming up!

Drawback 2 is that I'll have to install it too, to not be left behind.

Darkstar was right about my use of the PITA. I could have covered my tracks better, I guess... The main problem with PITA is drawing the orbital movements (curly arrows).




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[*] posted on 30-11-2015 at 07:36


I got mine here :

http://www.acdlabs.com/resources/freeware/

gdflp is being quiet, which is ominous, and worrying.




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[*] posted on 30-11-2015 at 07:41


Don't worry, I'm working on the first lecture. Might be another day or two though. Topic is <b>Liquid-Liquid Extractions</b>

ChemSketch is great for drawing structures, I've used it for a couple of years. It's a pain drawing arrows though, I copy the structures if I'm drawing mechanisms wherever possible.




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[*] posted on 30-11-2015 at 08:11


Just installed mine. Seems very powerful for freeware!

Currently struggling to create a hydroxide ion! You get stuck on the stupidest things when you're new to it...

Good UToob on ChemSketch here:

https://www.youtube.com/watch?v=rRdD95DhPiQ

[Edited on 30-11-2015 by blogfast25]




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[*] posted on 30-11-2015 at 09:34


Excellent video.

I got some ions by clicking on H, clicked in the sketch area and it made H2.

Then click O, and click on the H2 and it makes H2O.

Then click on the + symbol down near the bottom left hand side (actually there's a triangle to select +,-, .+ or .-) then click on the H2O

It automatically makes it into H3O<sup>+</sup> or HO<sup>-</sup>




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[*] posted on 30-11-2015 at 11:20


Quote: Originally posted by aga  
Excellent video.

I got some ions by clicking on H, clicked in the sketch area and it made H2.

Then click O, and click on the H2 and it makes H2O.

Then click on the + symbol down near the bottom left hand side (actually there's a triangle to select +,-, .+ or .-) then click on the H2O

It automatically makes it into H3O<sup>+</sup> or HO<sup>-</sup>


Yeah, just discovered that. It's very intuitive use once you get the basics.




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[*] posted on 30-11-2015 at 11:30


It can also name compounds by the IUPAC nomenclature, with Tools>Generate>Name for Structure. There's a limit of 50 atoms unless you buy the full version, but it is still quite a useful tool to check if you're naming compounds correctly as you're learning(or if you learned and forgot;)).



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[*] posted on 30-11-2015 at 12:01


ChemSketch is awesome !

One of the best software packages i have ever had.

Believe me, i've had a few ...




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[*] posted on 30-11-2015 at 12:58


First serious attempt:

bromoethane hydroxide.gif - 3kB

Not too shabby!




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[*] posted on 30-11-2015 at 13:39


Vunderbar !

The ChemSketch people should be congratulating themselves.

The time from Download to producing that image can be measured in mere Minutes.

[Edited on 1-12-2015 by aga]




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[*] posted on 30-11-2015 at 14:26


Nucleophilic Substitution Reactions (general case):

In the most general context, a generic case of such a reaction can be written as:

R-Y + :Nu < === > R-Nu + :Y

In that sense it can be regarded as the displacement of a Lewis base (:Y) by a harder one (:Nu).

(Note that if one of the reaction products (or by-products) is volatile or insoluble, a displacement of a harder LB by a softer one may still be possible due to Le Chatelier)

Below is a simple example, the hydrolysis of bromoethane:

bromoethane hydroxide.gif - 3kB

It’s known as an S<sub>N</sub>2 reaction.

But to substitute some Lewis base on a tertiary C atom a different reaction mechanism is called for because steric hindrance prevent the lone pair on :Nu from accessing the central, tertiary C atom since as it is completely surrounded by methyl groups and :Y itself.

Instead, a carbocation is formed on the tertiary C atom (stabilised by electron pushing), which then joins up with :Nu, as shown below:

SN1 reaction.gif - 5kB

This reaction mechanism is known as S<sub>N</sub>1.

[Edited on 1-12-2015 by blogfast25]




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[*] posted on 30-11-2015 at 14:32


Quote: Originally posted by aga  
Vunderbar !

The ChemSketch people whould be congratulating themselves.

The time from Download to producing that image can be measured in mere Minutes.


And thanks to ChemSketch, aga can now indulge in his favourite pass time: playing with AOs and MOs:

Structure > Templates > Template window > orbitals

:cool:




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[*] posted on 30-11-2015 at 17:14


I mean, who can seriously forget the formation of a full π molecular orbital from two half-filled ungerate p<sub>z</sub> atomic orbitals, huh? ;)

pi orbital formation.gif - 3kB

Halcyon days... :D

That 3D bit in ChemSketch is also awesome and I don't usually resort to superlatives.

[Edited on 1-12-2015 by blogfast25]




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[*] posted on 1-12-2015 at 13:43


Not sure 'awesome' is a superlative, however ChemSketch is Awesome.

Try the 3d modelling.

Edit:

Phenol turned up today, so i can do the phenolpthalein synth.

Would it be better to spin it off into a separate thread or post the method/photygraphs here ?

On the one hand, spinning it off elsewhere would lead to less pollution in this thread.
On the other hand it will add some photos.

Surprising how few participants this thread has attracted.

Perhaps just the Best felt able to get involved.

That can't be right : i'm still here and still fascinated.

[Edited on 1-12-2015 by aga]




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[*] posted on 1-12-2015 at 14:46


aga:

I think on this occasion and assuming the synth works more or less as planned, then posting it here as an illustration of a mechanism in practical conditions would be a Good Thing, pics included.

The 3D bit is awesome. It did get the 3D shape of AlCl<sub>4</sub><sup>-</sup> wrong, yet not SnCl<sub>6</sub><sup>2-</sup>... Incredible value for no money. :)

[Edited on 1-12-2015 by blogfast25]




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[*] posted on 1-12-2015 at 14:50


OK. We get to go Technicolour !

[Edited on 1-12-2015 by aga]




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[*] posted on 1-12-2015 at 14:57


Quote: Originally posted by aga  
Surprising how few participants this thread has attracted.


Any thread with "quantum mechanics" in the title is bound to scare a few people away.
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[*] posted on 1-12-2015 at 14:59


Quote: Originally posted by Darkstar  

Any thread with "quantum mechanics" in the title is bound to scare a few people away.


Yet look at the page view numbers: not bad at all!




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[*] posted on 1-12-2015 at 15:02


Agreed, however the majority ?

Early on there were Others, yet they seemed to Fade pretty fast.

Shame that just a drunkard actually wants to get educated.

Still, an excellent body of Work for Posterity if nothing else.

Soon to have beguiling Photos ...




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[*] posted on 1-12-2015 at 15:10


Synthesis of Alkyl Amines:

An interesting case is the S<sub>N</sub>2 mechanism of the synthesis of alkyl amines, in the example below by reaction of ammonia with bromoethane:

SN2 ammonium 2.gif - 5kB

In the first step, a nucleophilic attack by ammonia, a substituted ammonium bromide is formed, in this case ethylammonium bromide (a salt).

Further reaction in step 2 with more ammonia (which snatches a proton, its bonding orbital then folds back onto the N atom) yields ethyl amine and ammonium bromide as a by-product.

Note that amines (primary, secondary and tertiary, see below) are all still Lewis bases (and in water also Brønsted–Lowry bases) and can thus be used in further substitution reactions. A tertiary amine reacted with an alkyl halide yields a fully substituted, quaternary ammonium ion (here for simplicity a quaternary methyl ammonium cation).

Ethylamines.gif - 4kB

Alkylamines are in fact harder Lewis bases and stronger Brønsted–Lowry bases than ammonia itself (pK<sub>b</sub> for ethylamine is 3.3, for ammonia 4.75 for instance), due to electron pushing by the alkyl groups.

This reaction mechanism also opens the possibility of creating asymmetric secondary (or tertiary) amines, via:

R<sup>1</sup>-X + 2 :NH<sub>2</sub>-R<sup>2</sup> === > R<sup>1</sup>-NH-R<sup>2</sup> + [NH<sub>3</sub>R<sup>2</sup>]X

The following SM link links to an active *.pdf on the preparation of ethylamine in 90 % ethanol as solvent.

[Edited on 2-12-2015 by blogfast25]




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[*] posted on 1-12-2015 at 19:01


Liquid-Liquid Extractions

In organic chemistry, extractions are used to separate compounds by exploiting the differences in their solubility in various solvents. There are varying types of extractions, but only two are commonly used in lab-scale procedures. Liquid-solid extractions can be used to isolate a compound present in a solid mixture by choosing a solvent such that the desired compound is selectively dissolved. This type of extraction has the distinct disadvantage that dissolution is a kinetic property, thus extended times and/or harsh conditions are required to ensure a good efficiency. Liquid-liquid extractions circumvent this by extracting a compound which is already dissolved. The solute merely has to migrate from one solvent to another, this is a much faster process. In fact, these extractions are quick enough that they can be performed in under a minute per extraction using a separatory funnel.

Liquid-liquid extractions require two separate solvents, one for the impure solute to be dissolved in initially, and the extraction solvent which extracts the desired compound from the impure mixture. There is a wide variety of extraction solvents, but there are some characteristics which they must posses. Firstly, they must be immiscible with the initial solvent, so that the two can be physically separated after the extraction. Secondly, they must show a good solubility for the compound to be extracted, for example, dichloromethane and diethyl ether are good extraction solvents for polar compounds, whereas hexane is good extraction solvent for nonpolar compounds. Thirdly, the extraction solvent ideally shows minimal solvation towards the impurities in the compound to be extracted, to achieve a better separation. Finally, the extraction solvent must have a boiling point which varies greatly from the compound being extracted, so that the two are easily separated after the extraction. For solids, solvents with low boiling points are ideally used so that they can be removed quickly and, in the case that the substrate is heat sensitive, the compound doesn't decompose when the solvent is removed. For obvious reasons, the extraction should not form an azeotrope with the target compound.

The amount of solute which is extracted in one extraction is given by the following equation :$$ \text{Partition coefficient} = \dfrac{\dfrac{x}{\text{volume of extraction solvent}}}{\dfrac{\text{amount of solute} - x}{\text{volume of solution to be extracted}}} $$ where x is the amount of solute which is extracted in that extraction. The partition coefficient, k, is defined as follows : $$ k = \frac{\text{solubility of compound in extraction solvent}}{\text{solubility of compound in starting solvent}}$$ k is unique to a solute in a certain set of solvents, and can either be determined based on reported solubilities or experimentally.

I'm going to define some variables to clean this up a bit : $$ x : \text{Amount of solute extracted} $$$$ s_0 : \text{Initial amount of solute} $$$$ s : \text{Amount of solute present at the beginning of the current extraction} $$$$ k : \text{Partition coefficient} $$$$ r : \text{Ratio of volume of extraction solvent to volume of starting solvent} $$$$ n : \text{# of Extractions} $$
So, with these new variables we can rewrite the equation above as : $$ \text{Equation 1 : } k = \dfrac{\dfrac{x}{r}}{s_0 - x} = \dfrac{x}{r(s_0 - x)}$$ This can be rearranged to yield the following equation, solved for x : $$ \text{Equation 2 : } x = \dfrac{s_0kr}{1 + kr}$$ Now let's do an example to demonstrate the use of this equation :
Assume that the partition coefficient of caffeine in a dichloromethane/water solvent system is 6.4. 200ml of coffee contains 140mg of caffeine. If the coffee is extracted with 2 x 100ml dichloromethane, how much caffeine remains in the coffee. So, to start off, we plug all of the variables into Equation 2 : $$x = \frac
{.140 \cdot 6.4 \cdot 0.5}{1 + 6.4 \cdot 0.5} = .107g$$ Thus, 107mg of caffeine are extracted in the first extraction. Now we find our new s and solve for x in the second extraction : $$ s = s_0 - .107 = .033g$$$$ x = \frac{.033 \cdot 6.4 \cdot 0.5}{1 + 6.4 \cdot 0.5} = .025g$$ Finally we add up the amount of caffeine extracted in the first and second extraction, and subtract from the original amount in the coffee to find the amount of caffeine remaining in the coffee. $$ .140 - (.025 + .107) = .008g$$ So, in those two extractions, 94% of the caffeine was removed from the coffee using 200ml total of dichloromethane. Now let's repeat the problem except this time, we're going to use one 200ml portion of dichloromethane : $$ x = \frac{.140 \cdot 6.4 \cdot 1}{1 + 6.4 \cdot 1} = .121g $$ So now, using the same amount of dichloromethane, 19mg of caffeine remain in the coffee, thus the extraction was only 86% efficient. This demonstrates an important concept in extractions, more extractions using lesser amounts of solvent are more efficient than fewer extractions using greater amounts of solvent. Of course, this is only the theoretical aspect, in reality mechanical losses provide a limit to how small the amount of extraction solvent can truly become.

Ignoring that for a moment though, let's look at a way of speeding up determing the amount of solvent extracted in the n<sup>th</sup> extraction in a series of extractions. Firstly, I am going to define one more constant, b, which will make the following equations more aesthetically pleasing : $$ b = \frac{kr}{1 + kr} $$ Now consider an arbitrary number of successive extractions a, the total amount of solute extracted can be described by the following equation : $$ \sum_{i = 1}^{i = n} bs_i$$ where s<sub>i</sub> is the amount of solute remaining in the beginning of that extraction. If we expand this to a series, we get : $$ \sum_{i = 1}^{i = n} bs_i = bs_0 + bs_1 ... + bs_n$$ We are given s<sub>0</sub> in the original problem, but we need to define the rest. We can define s<sub>1</sub> however, in terms of bs<sub>0</sub> by realizing that s<sub>0</sub> - bs<sub>0</sub> is equal to the solute remaining after the first extraction which is equal to s<sub>1</sub>. If we make the same argument for the subsequent terms, we get the following : $$ bs_0 + bs_1 ... + bs_a = bs_0 + b(s_0 - bs_0) + b((s_0 - bs_0) - b(s_0 - bs_0)) = bs_0 + bs_0(1 - b) + bs_0(1 - b)^2 ...$$ Thus, the amount of solute extracted in the n<sup>th</sup> extraction can be defined by : $$ \text{Equation 3 : } bs_0(1 - b)^{n - 1}$$ and the total amount extracted by n extractions is : $$ \text{Equation 4 : } \sum_{i = 1}^{i = n} bs_0(1 - b)^{n - 1} $$This can be used to directly compute something quite interesting. As mentioned previously, a greater number of extractions with smaller amounts of solvent is more efficient than fewer extractions with greater amounts of solvent, even if the total solvent used is the same. Using the previous definitions, we can adapt the derived equation to represent the efficiency of a varying number of extractions. If we let : $$ r = \frac{r}{n} $$ then we get the following equation : $$ b = \frac{kr}{1 + kr} = \frac{\frac{kr}{n}}{1 + \frac{kr}{n}} = \frac{kr}{n + kr} $$ Finally, this can be plugged into Eq. 4. This allows us to calculate and compare the efficiency of two series of extractions which utilize different numbers of extractions, but the same total amount of solvent.

Just as a note, we can see that : $$\lim_{n \rightarrow \infty} \left( \sum_{i = 1}^{i = n} bs_0(1 - b)^{n - 1} \right) = s_0$$ thus, theoretically, as the number of extractions performed goes to infinity, the extraction efficiency approaches 100%(again ignoring mechanical losses).

Edit : Fixed Eq. 2

[Edited on 12-2-2015 by gdflp]




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[*] posted on 1-12-2015 at 19:17


Very nice lecture, gdflp. Nice to see there are still some SMers who don't shy away from a bit of math.

What method did you use to render the formulas so well?

Going from Eq.1 to Eq.2, did you lose an index 0 on s?

[Edited on 2-12-2015 by blogfast25]




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