Using an atomic force microscope, we measured effective spring constants of stacks of graphene sheets (less than 5) suspended over photolithographically defined trenches in silicon dioxide. Measurements were made on layered graphene sheets of thicknesses between 2 and 8nm, with measured spring constants scaling as expected with the dimensions of the suspended section, ranging from 1to5Nm. When our data are fitted to a model for doubly clamped beams under tension, we extract a Young’s modulus of 0.5TPa, compared to 1TPa for bulk graphite along the basal plane, and tensions on the order of 107N.

1.
M.
LaHaye
,
O.
Buu
,
B.
Camarota
, and
K.
Schwab
,
Science
304
,
74
(
2004
).
2.
K.
Ekinci
,
Y.
Yang
, and
M.
Roukes
,
J. Appl. Phys.
95
,
2682
(
2004
).
3.
B.
Ilic
,
J. Appl. Phys.
95
,
3694
(
2004
).
4.
D.
Rugar
,
R.
Budakian
,
H.
Mamin
, and
B.
Chui
,
Nature (London)
430
,
329
(
2004
).
6.
K.
Ekinci
and
M.
Roukes
,
Rev. Sci. Instrum.
76
,
061101
(
2005
).
7.
B.
Kelly
,
Physics of Graphite
(
Applied Science
,
Englewood, NJ
,
1981
).
8.
J. S.
Bunch
,
A. M.
van der Zande
,
S. S.
Verbridge
,
I. W.
Frank
,
D. M.
Tanenbaum
,
J. M.
Parpia
,
H. G.
Craighead
, and
P. L.
McEuen
,
Science
315
,
490
(
2007
).
9.
V.
Sazonova
,
Y.
Yaish
,
H.
Uestuenel
,
D.
Roundy
,
T. A.
Arias
, and
P. L.
McEuen
,
Nature (London)
431
,
284
(
2004
).
10.
S. C.
Jun
,
X.
Huang
,
M.
Manolidis
,
C.
Zorman
,
M.
Mehregany
, and
J.
Hone
,
Nanotechnology
17
,
1506
(
2006
).
11.
W.
Weaver
,
S. P.
Timoshenko
, and
D. H.
Young
,
Vibration Problems in Engineering
, 5th Ed. (
Wiley
,
New York
,
1990
), p.
454
.
12.
M. W.
Pruessner
,
T. T.
King
,
D. P.
Kelly
,
R.
Grover
,
L. C.
Calhoun
, and
R.
Ghodssi
,
Sens. Actuators, A
105
,
190
(
2003
).
13.
S. D.
Senturia
,
Microsystem Design
(
Kluwer Academic
,
Boston, MA
,
2000
), p.
249
.
14.
Purchased from Toshiba Ceramics.
15.
J. S.
Bunch
,
Y.
Yaish
,
M.
Brink
,
K.
Bolotin
, and
P. L.
McEuen
,
Nano Lett.
5
,
287
(
2005
).
16.
K.
Novoselov
,
D.
Jiang
,
F.
Schedin
,
T.
Booth
,
V.
Khotkevich
,
S.
Morozov
, and
A.
Geim
,
Proc. Natl. Acad. Sci. U.S.A.
102
,
10451
(
2005
).
17.
K. S.
Novoselov
,
A. K.
Geim
,
S. V.
Morozov
,
D.
Jiang
,
M. I.
Katsnelson
,
I. V.
Grigorieva
,
S. V.
Dubonos
, and
A. A.
Firsov
,
Nature (London)
438
,
197
(
2005
).
18.
Y.
Zhang
,
Y. W.
Tan
,
H. L.
Stormer
, and
P.
Kim
,
Nature (London)
438
,
201
(
2005
).
19.
P.
Blake
,
K.
Novoselov
,
A. H. C.
Neto
,
D.
Jiang
,
R.
Yang
,
T.
Booth
,
A.
Geim
, and
E.
Hill
,
Appl. Phys. Lett.
91
,
063124
(
2007
).
20.
We used a Dimension 3000 AFM from Digital Instruments.
21.
A. C.
Ferrari
,
J. C.
Meyer
,
V.
Scardaci
,
C.
Casiraghi
,
M.
Lazzeri
,
F.
Mauri
,
S.
Piscanec
,
D.
Jiang
,
K. S.
Novoselov
,
S.
Roth
, and
A. K.
Geim
,
Phys. Rev. Lett.
97
,
187401
(
2006
).
22.
A.
Gupta
,
G.
Chen
,
P.
Joshi
,
S.
Tadigadapa
, and
P. C.
Eklund
,
Nano Lett.
6
,
2667
(
2006
).
23.
D.
Graf
,
F.
Molitor
,
K.
Ensslin
,
C.
Stampfer
,
A.
Jungen
,
C.
Hierold
, and
L.
Wirtz
,
Nano Lett.
7
,
238
(
2007
).
24.
J. D.
Whittaker
,
E. D.
Minot
,
D. M.
Tanenbaum
,
P. L.
McEuen
, and
R. C.
Davis
,
Nano Lett.
6
,
953
(
2006
).
25.
E.
Minot
,
Y.
Yaish
,
V.
Sazonova
,
J. Y.
Park
,
M.
Brink
, and
P. L.
McEuen
,
Phys. Rev. Lett.
90
,
156401
(
2003
).
26.
Olympus AC-240TS.
27.
Purchased from Veeco Metrology; calibration performed with Laser Doppler Vibrometry by B.Ohler as per Application Note 94, Veeco Instruments, Inc. (
2007
).
28.
M.
Tortonese
and
M.
Kirk
,
Proc. SPIE
3009
,
53
(
1997
).
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