grand means of making material prescott's you might think the structure it would be simple

is a single mathematic of carbon atoms

range and hexagonal structure kind of like the chicken one

however previous research has found that is not one but rather is riddled with distorted

the wavelength of these ripples and grapheme is a few nine images to twenty five

millimetres

and their amplitude is about one animators and then really surprising because they have a

high strain energy and the impact on the chart chapel properties

university work we will not a graphing but it can be modified gradually

we wanted to overcome any modified reference graph not so i can be reduced greatly

outside these two most widely studied homes of can be modified gradually i have many

applications ranging from corpus it's possible texts consensus

the cycle and structures can be modified gradually still not well understood

despite not surprising things teacher ratio roughly two to one right outside you also maintain

large areas of wrapping like a weaker design using my thinking

and used it using the solution you know that the then we by dropping the

drawable web site or used right side deletion of the double e g and rate

this produces a good coverage of working on my laptop with it

when we look at the samples in tm we find that crappy oxide is nearly

transparent and is robust to the electron beam

electron diffraction shows at this thing to think that was structure the in a spot

are more intense than the out the ones

as we discussed in the paper this is a this thing this signature or single-layer

grapheme

we can learn more about the structure of a grapheme actually by using a electron

fraction

and in particular we can then more as we have

we sampling them on the slopes move that you to appreciate because the projective distance

yes more details

so that's what about

but more interestingly of the robustness and the rippling initiate it how the spots based

here because of the clean and she becomes much more apparent that you tell so

looking at the way that the spots walden disappear you increase the tilt angle allows

us to work out what structure of the graph

we find that the rate at which that's what role than you actually greater the

graphing upside then was previously reported that roughly

and aligned graphing the spots were linearly with so that they rather go after them

in order to understand the broadening of abstraction peaks with tilt angle we considered to

be radically various height modulations in the graph in sheets

one way we can do this is by considering all the long-range variations and then

we can show theoretically that they would just need to broadening of the peaks but

if we consider short range variations at the optimistic sort of scalar copying we can

find that this leads to side peaks appearing mood detection peaks appearing

next to the standard peaks we've done that analytically what we also done that numerically

we have shown as a function of the tended and how the detection peak woodbury

and what we see in the upper row is what would happen if we had

a few short range variations in the height

and you see besides the dominant lightly coloured sort of the main p or yellow

line you see side peaks appearing at other positions

the second row shows that when the average all the menu such distortions the net

effect is a broadening

the single peak this broadening is pasta than in here as in the experiments and

hence different but long-range distortion

so the more investigations

but i have and election diffraction

clearly indicate that the topography a graph you know oxide is different that previously reported

the graph at the level constraint induced by the functional annotation

"'cause" it sure range correlations in the graph like lattice of the graphing oxide and

the magnitude of these distortions is about ten of the column culpable spacing

now we describe an outside appears to be similar

and that's consistent with the observations of the conductivity

of which is cracking oxide is orders of magnitude lower than mechanically exfoliating graphing

the local strain will have important implications

by the mechanical properties and the chemical reactivity