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of dense smooth shells contribute. In that case, the specic therefore decreases with increasing CHCOOH. It should be noted
2
surface equals the outer surface A ¼ 4p(d/2) divided by the that at a high CHCOOH of 5.04 M, the shells are roughly grain-
3
shell's mass m ¼ V ꢂ r , with shell volume V ¼ (4p/3)[(d/2) ꢀ monolayers because the average thickness is not even twice the
Pd
3
2
ꢀ1
(
d/2 ꢀ h) ]. This estimate gives about 6 m g . An about three average grain size, as indicated by HRTEM images. Even higher
times larger BET indicates merely a rough surface, but the factor concentrations will lead to less surface coverage, which can no
of ve indicates that there is already signicant porosity (so that longer maintain a stable spherical shape, as conrmed by the
the assumption of a dense shell with bulk Pd density rPd is not debris obtained with CHCOOH ¼ 5.76 M. The BET specic surface
2
ꢀ1
valid).
area of the 5.04 M product is measured to be 87.5 m g .
With CHCOOH equal or below 0.72 M, only NP aggregates with Addition of 0.2 mmol CTAB and other conditions being the
irregular shapes are obtained (Fig. S1a†). Increasing CHCOOH to same (CHCOOH ¼ 5.04 M) shows that d is widely distributed and
1
.44 M results in shells with diameters of (85 ꢁ 13) nm, but the shells are thick (Fig. S2†). Further increasing C
can no
HCOOH
irregular and large aggregates are still observed (Fig. S1b†). At longer achieve monolayer Pd shells. This indicates that an
C
HCOOH ¼ 2.16 M, the diameter is (122 ꢁ 22) nm (Fig. 2a). A addition of surfactants into the reaction system does not facil-
CHCOOH of 2.88 M results in the already discussed sample shown itate the formation of shells but makes size control difficult.
in Fig. 1c. At 3.60 M and 4.32 M, the diameter increases to (175
Keeping CHCOOH at 2.88 M, shells do not form when CPd is
ꢁ
28) nm and (250 ꢁ 30) nm (Fig. 2b and c). Around 5.04 M, below 1.0 mM (Fig. S3a†). The typical CPd of 1.5 mM results in a
most of the resulting 360 nm diameter shells are broken and the thickness of 16 nm. At 2.5 mM, the shell thickness h increases to
surface is covered incompletely (Fig. 2d). Please notice that the (23 ꢁ 4) nm (Fig. S4a†), and at 4.0 mM, the shells are (28 ꢁ 5)
front and back halves of a shell overlap each other in the image. nm thick but irregular NP aggregates start to be observed
The uncovered areas of the shell are therefore even larger than it (Fig. S4b†). Beyond 5.0 mM, large 3D networks form (Fig. S3b†).
appears. Further increasing CHCOOH to 5.76 M results in only The diameter of the shells stays surprisingly constant when
debris of broken shells (Fig. S1c†). When CHCOOH is above 6.0 M, changing CPd. Therefore, the dependence between the total
no hollow spheres but network-like nanostructures are amount of Pd and h again proves a varying number of bubbles.
obtained (Fig. S1d†).
The thicknesses h of the shells (insets of Fig. 2) obtained with HCOOH into H
different CHCOOH of 1.44, 2.16, 2.88, 3.60, 4.32 and 5.04 M are 13, density of Pd NPs increases linearly with CPd. More Pd results in
1, 16, 12, 10, and 7 nm, respectively (all with standard devia- more bubbles, suggesting already that the bubbles grow on the
This is here due to that the Pd is actively involved in turning
2
. Since the grain size stays constant, the number
2
tions of ꢃ4 nm). Since the amount of Pd was kept constant Pd, so the growth mechanism is more complex than just having
9
throughout (CPd was not changed), one expects that h decreases NPs attach to pre-existing bubbles or micelles as usual with a
with increasing diameter. The diameter changes almost linearly surfactant facilitated synthesis. The diameter is indeed robustly
with CHCOOH (Fig. 2e). However, d increases by roughly a factor dependent only on CHCOOH, as conrmed by the product from
of three while h decreases roughly by the same factor of
three from 21 to 7 nm (we omit the 85 nm diameter shells, 360 nm again, and h thus lowered to 18 nm (Fig. S4c†).
which come together with many irregular aggregates, from this Reaction temperature T inuences crystal growth and thus
CPd ¼ 4.0 mM and CHCOOH ¼ 5.04 M the diameter is as expected
analysis). This does not reect the square law dependence determines the grain size. Fig. S4d–f† shows TEM images of Pd
between surface and diameter! The number of shells, which is shells obtained with different T while keeping other parameters
1
1
around 10 as calculated from the amount of used Pd, typical (CHCOOH ¼ 2.88 M and CPd ¼ 1.5 mM). This synthesis
series reliably obtains hollow spheres with a diameter of ꢃ145
nm. However, the average grain sizes obtained at 60, 100, 160
ꢄ
and 200 C are 4 ꢁ 2 nm (Fig. S4d†), 6 ꢁ 2 nm (Fig. S4e†), 11 ꢁ 4
nm, and 21 ꢁ 7 nm (Fig. S4f†). The XRD patterns (Fig. S4g†)
verify the products' high purity and crystallinity. The four peaks
ꢄ
ꢄ
ꢄ
ꢄ
at 39.8 , 46.3 , 67.6 and 81.9 correspond to the (111), (200),
220) and (311) of fcc Pd. The peak broadening is associated
(
with the grain size. According to the Scherrer equation, the
ꢄ
average grain sizes from different T of 60, 100, and 200 C are
about 5, 8, and 22 nm, consistent with the TEM results. The
average grain size's dependence on T is depicted in Fig. S4h.†
Table S1† summarizes reaction parameters and corresponding
sizes, demonstrating that the average d, h, and grain size are
controllable.
At an autoclave lling ratio of r ¼ 100%, bubbles cannot
form in the incompressible solvent. When r is increased from
the typical 60% to 65%, shell diameters are not uniform
(
Fig. S5a†). At 75%, no hollow spheres but networks are
Fig. 2 TEM images of the Pd products obtained with different CHCOOH
of 2.16 (a), 3.60 (b), 4.32 (c), and 5.04 M (d), and the dependence of the
diameter and shell thickness on CHCOOH (e).
obtained (Fig. S5b†). If r is decreased to 50%, only debris of
shells is obtained (see Fig. S5c–d†). Although the variation of r
13730 | RSC Adv., 2014, 4, 13729–13732
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