2002 IITC
2002 IITC
Cohesive Strength Characterization of
Brittle Low-K Films
G. X u, J. He, E. A ndideh, J. Bielefeld, T. Scherban
Logic Technology Development
2002 IITC
2002 IITC
Introduction-Motivation
• TM Characterization challenge
– Mature techniques available for hardness, modulus (indentation) and adhesion (4 point bending).
– Thin film cracking is an important reliability problem.
• New porous and low k ILDs are very susceptible to cracking • Tensile residual stress compare to compressive stress of
conventional SiO2, SiOF.
– Need a technique to quantity cohesive energy and critical thickness for cracking.
• At early development stage thin blanket films are often the only ones available.
• Failure criteria for material screening/ selection.
2002 IITC
2002 IITC
Introduction
• There will always be a trade-off between mechanical properties and dielectric constant.
0 10 20 30 40 50 60 70 80 0 5 10 15 20
2 2.5 3 3.5 4
Silicon oxide based dielectric materials
Modul u s (GPa) Ha rd n ess ( G P a)
Dielectric constant, k 0 10 20 30 40 50 60 70 80 0 5 10 15 20
2 2.5 3 3.5 4
Silicon oxide based dielectric materials
Modul u s (GPa) Ha rd n ess ( G P a)
2002 IITC
2002 IITC
Introduction--Challenge
• Film residual stress becomes tensile for materials with lower modulus (and k) while conventional SiOx and SiOF have compressive residual stress. If not
properly comprehended, film is subjected to cracking!
-300 -200 -100 0 100
1 10 100 1000
Modulus (GPa)
In
tri
n
sic
F
ilm
S
tre
ss
e
s (MP
2002 IITC
2002 IITC
Thin Film Characterization Techniques
• 4 Point Bending
– Basic technique used at Intel for interfacial adhesion energy
– Mix mode Ψ~45o
– Only get cohesion data when film is weaker than interfaces. – Need surface analysis to determine failure mode.
P/2 P/2
l
b
a1 a2
2h
3
2
2
2
2
h
Eb
16
l
P
)
1
(
21
2002 IITC
2002 IITC
• Dual Cantilever Beam(DCB)
– Alternative technique for interface adhesion measurement. – Mainly Mode I.
– Only get cohesion data when film is weaker than interfaces. – Need surface analysis to determine failure mode.
Thin Film Characterization Techniques
3
2
2
2
2
h
Eb
a
P
)
1
(
12
G
=
−
ν
a P
P
2h
2002 IITC
2002 IITC
Thin Film Characterization Techniques
• Channel Cracking
– Pure M ode I
– Guarantee cohesive failure mode
f
2 f f
2 f el
E
)
1
(
h
g
G
=
σ
−
ν
hf
hs
P/2 P/2
L
b
Crac k pro
pa
-gatio n dire
2002 IITC
2002 IITC
Channel Cracking
G: Fracture Energy
gel: depends on film-substrate elastic mismatch. Calculated by FEM
σf: Total film stress, including residual stress and applied stress
Ef, Es: Elastic moduli of film and substrate
νf, ν s: Poisson ratio of film and substrate
hf, hs: thickness of film and substrate
P: applied load
L: distance between inner pin and outer pin
b: sample width
s f 2
f 2 s 2
s 0
f
E
E
1
1
b
h
PL
3
ν
ν
σ
σ
−
−
+
=
Residual
Stress Applied stress through bending
2002 IITC
2002 IITC
Channel Cracking
• Channel cracking measures cohesive fracture energy for ILD thin film.
– Fracture energy is measured for a range of crack propagation velocities.
1.E-08 1.E-07 1.E-06 1.E-05 1.E-04
1 1.5 2 2.5
Cohesive Fracture Energy, G (J/m2)
C
rack
V
el
o
cit
y
,
v
(m/
s) ILD1
2002 IITC
2002 IITC
0 100 200 3000.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Film Thickness, hf(µµµµm)
A ppl ie d S tr e s s (M P a) ILD1 ILD2
Critical Thickness, hc
• Residual stress is different! Contribution to G is
different
– ILD#1, σ0=60MPa; ILD#2, σ0=70MPa
• External (applied) stress is a better metric of reliability performance.
Concern: Residual Stress
2002 IITC
2002 IITC
1.E-08 1.E-07 1.E-06 1.E-05 1.E-04
20 25 30 35 40 45
Cohesive Strength @1.5µm(MPa)
Cr
ac
k
V
elo
city
,
v
(m
/s
)
ILD2
ILD1
New Metric--Cohesive Strength
• Applied stress has to be normalized to fixed film
thickness(ex. 1.5µm) to compare films of different
thickness.
• Cohesive strength-- the new metric for ILD ranking in
terms of the maximum external stress the film can sustain before cracking.
0 f
f m
5 . 1
m
5
.
1
h
σ
µ
σ
2002 IITC
2002 IITC
1.E-08 1.E-07 1.E-06 1.E-05
30 40 50 60
Cohesive Strength @1.5um(MPa)
C
rack V
el
o
ci
ty(
m
/s)
30% RH
0% RH
Application of Channel Cracking
• Critical thickness hc can be predicted
– the cracking threshold thickness in absence of external stress – maximum film thickness that can be deposited before cracking.
• Environmental effect on film property, eg. humidity – Silica based low-k material is subject to stress corrosion
2 f 2
f c
0
h
h
σ
σ
2002 IITC
2002 IITC
0 20 40 60 80
0 5 10 15 20
C
o
h
esi
ve S
tr
e
ng
th
(M
P
a
)
Cohesive Strength & E, k
• Cohesive strength is found to linearly increase with film modulus.
• Cohesive strength will decrease as k decreases — Trade-off between mechanical properties and performance always exists.
2002 IITC
2002 IITC
Summary
• A new thin film characterization metric “ Cohesive Strength” is defined.
• “ Cohesive Strength” is measured by the channel cracking technique and is defined as the external
stress applied through bending at fixed film thickness and fixed crack velocity.
• Can predict critical thickness hc—the maximum
deposited thickness before the films cracks from its own intrinsic stress.