Hiro

@Dennis I am aware of that, just needed a quick answer and no one would reply in the science chats

@EᴀsᴛᴇʀʟʏIʀᴋ Ah, alright awesome thanks :P

@EᴀsᴛᴇʀʟʏIʀᴋ Me too...

@EᴀsᴛᴇʀʟʏIʀᴋ I tried to look up the reason on the internet but could not find it, and so made a hypothesis based on periodic trends, electron configuration and crystal field theory.. lol

@EᴀsᴛᴇʀʟʏIʀᴋ For real?

Is it simply because the atomic radius increases, the d-orbitals are closer to the ligands in a complex and thus there is a greater electron repulsion in the octahedral electrostatic field, meaning that the electrons in the d-orbitals will be displaced by a greater amount resulting the crystal field splitting energy to be greater?

I am not sure if this is the right place to ask, but people in the h-bar chat didn't reply. Just a question regarding crystal field theory: why does the crystal field splitting energy increase as we go down a group with the same oxidation state?

Since the atomic radius increases down a group, doesn't that mean that the d orbitals are going to be farther away from the center, does that cause a greater electronic repulsion with respect to the ligands in the complex, and is that what causes an increase in the crystal field splitting energy???

Hello, I have a question regarding crystal field theory, why does the crystal field splitting energy increase down a group with the same oxidation state in a complex?

Any idea how to approach this: math.stackexchange.com/questions/2037297/…

Any idea how to solve this: math.stackexchange.com/questions/2037297/…

how can we simplify $\frac{y_1}{y_2}$, where $y_1=\frac{3199}{12689}x+7.43$, and $y_2=\frac{2017}{8000}x+\frac{5943}{800}?

@Semiclassical I am calculating that, one sec

@Semiclassical When the question says "ratio," I am assuming it wants an actual numerical value rather than a value that consists of variables?

@Semiclassical Ah ok, I'll just pick the mother function then

@Semiclassical $x^2-y^2=1$, $\frac{x^2}{2}-\frac{y^2}{2}=1$, etc. These are different

@Semiclassical Should I look at the ratio of AX:AB in different hyperbolic functions, and see if the ratio is very similar

Ah alright, should I just pick specific hyperbolic functions and compare the ratios?

@Semiclassical Can you explain how we can us affine transformations to figure out the ratio of AX:AB in the hyperbola problem?

and that will look extremely messed up, as in rlly rlly jumbled up variables in each equation

If we took a general case, then instead of numbers, it will be variables

I'll just go ahead with this proof :P

Inductive right?

What kind of reasoning was that called? Deductive or inductive?

After demonstrating a specific case, I'd go about a general case

So I should just write that down in words?

the result that no matter what the case is, ZC will always intersect AB at X correct?

then it will give you the same result

if the proportion is the same

But it doesn't matter if you shift it, twist it, stretch it

What do you mean?

No I just chose points

@Semiclassical Is my proof good enough? imgur.com/a/vKKzG

@Semiclassical yeah b is just 0 lol

and then calculate b :P

using the two points

just find the slope

oh

how to find the equation of the line that passes through an intersection and the origin? xD

I don't quite get how showing that the hyperbola remains unchanged proves that line ZC passes through X :p @Semiclassical

The calculus approach makes more sense to me for some reason

one sec

I am studying math alone, not in a course

Yeah, but how can I do any proof... like I literally have no idea...

but if follows the same condition or scenario

I just picked random points btw

imgur.com/a/ERRsV

I am drawing one though

not yet @Semiclassical

ah ok