Digital Doping in Magic-Sized CdSe Clusters
Supporting Information
Digital Doping in Magic-Sized CdSe Clusters Franziska Muckel,†,# Jiwoong Yang,‡,§,# Severin Lorenz,† Woonhyuk Baek,‡,§ Hogeun Chang,‡,§ Taeghwan Hyeon,*,‡,§ Gerd Bacher,*,† and Rachel Fainblat†,‡,§
†
Werkstoffe der Elektrotechnik and CENIDE, University Duisburg-Essen, Bismarckstraße 81,
47057 Duisburg, Germany ‡
Center for Nanoparticle Research, Institute for Basic Science (IBS), Seoul 08826, Republic
of Korea §
School of Chemical and Biological Engineering and Institute of Chemical Processes, Seoul
National University, Seoul 08826, Republic of Korea
#
F. Muckel and J. Yang contributed equally to this work.
*E-mail: [email protected] *E-mail: [email protected]
S1
Figure S1. High resolution mass spectrometry (MS) data (black) of clusters with a nominal concentration xnom of 4%, 7% and 10%, respectively, compared to simulated isotope distributions (colored) illustrating the extraction of the ratios of the different cluster species ((CdSe)13 (blue), Cd12MnSe13 (red) and Cd11Mn2Se13 (green)).
S2
Table S1. From mass spectrometry (MS) extracted ratios of the different species for a given nominal doping concentration
Doping concentration [%]
Ratios [%] (CdSe)13
Cd12MnSe13
Cd11Mn2Se13
2.2 ± 0.02
73
19
8
4.0 ± 0.05
55
30
15
7.4 ± 0.15
34
35
31
9.9 ± 0.2
26
33
41
Simulation of ratios of different species based on binomial distribution: Considering only undoped, monodoped and bidoped clusters we simulated the relative probabilities of these three cluster species in an ensemble with a nominal Mn2+ concentration xnom on the base of a binomial distribution. The simulation ensures that - at any given overall nominal concentration xnom between 0% and 15.4% of Mn2+- the probabilities and
,
of undoped, monodoped and bidoped cluster add up to unity, while
the total number of Mn2+ ions in the Cd12MnSe13 and Cd11Mn2Se13 cluster yield the nominal concentration
. :
:
with
13
, ∗
, ∗
0 :
∗
1
, ∗
1 :
∗
1
13
0.077 ⋅
S3
0.15 ⋅
, ∗
2
Table S2. Extracted giant Zeeman Splitting ΔE at B = 1.43 T and T = 5.2 K and corresponding effective g-factor geff
Doping concentration [%]
ΔE [meV]
geff
2.30 ± 0.07
2.0 ± 0.03
-25
4.00 ± 0.25
6.6 ± 1.7
-81
6.32 ± 0.36
13.5 ± 1.0
-166
8.14 ± 0.53
9.13 ± 1.5
-112
10.16 ± 0.63
5.9 ± 0.5
-72
S4
Digital Doping in Magic-Sized CdSe Clusters Franziska Muckel,†,# Jiwoong Yang,‡,§,# Severin Lorenz,† Woonhyuk Baek,‡,§ Hogeun Chang,‡,§ Taeghwan Hyeon,*,‡,§ Gerd Bacher,*,† and Rachel Fainblat†,‡,§
†
Werkstoffe der Elektrotechnik and CENIDE, University Duisburg-Essen, Bismarckstraße 81,
47057 Duisburg, Germany ‡
Center for Nanoparticle Research, Institute for Basic Science (IBS), Seoul 08826, Republic
of Korea §
School of Chemical and Biological Engineering and Institute of Chemical Processes, Seoul
National University, Seoul 08826, Republic of Korea
#
F. Muckel and J. Yang contributed equally to this work.
*E-mail: [email protected] *E-mail: [email protected]
S1
Figure S1. High resolution mass spectrometry (MS) data (black) of clusters with a nominal concentration xnom of 4%, 7% and 10%, respectively, compared to simulated isotope distributions (colored) illustrating the extraction of the ratios of the different cluster species ((CdSe)13 (blue), Cd12MnSe13 (red) and Cd11Mn2Se13 (green)).
S2
Table S1. From mass spectrometry (MS) extracted ratios of the different species for a given nominal doping concentration
Doping concentration [%]
Ratios [%] (CdSe)13
Cd12MnSe13
Cd11Mn2Se13
2.2 ± 0.02
73
19
8
4.0 ± 0.05
55
30
15
7.4 ± 0.15
34
35
31
9.9 ± 0.2
26
33
41
Simulation of ratios of different species based on binomial distribution: Considering only undoped, monodoped and bidoped clusters we simulated the relative probabilities of these three cluster species in an ensemble with a nominal Mn2+ concentration xnom on the base of a binomial distribution. The simulation ensures that - at any given overall nominal concentration xnom between 0% and 15.4% of Mn2+- the probabilities and
,
of undoped, monodoped and bidoped cluster add up to unity, while
the total number of Mn2+ ions in the Cd12MnSe13 and Cd11Mn2Se13 cluster yield the nominal concentration
. :
:
with
13
, ∗
, ∗
0 :
∗
1
, ∗
1 :
∗
1
13
0.077 ⋅
S3
0.15 ⋅
, ∗
2
Table S2. Extracted giant Zeeman Splitting ΔE at B = 1.43 T and T = 5.2 K and corresponding effective g-factor geff
Doping concentration [%]
ΔE [meV]
geff
2.30 ± 0.07
2.0 ± 0.03
-25
4.00 ± 0.25
6.6 ± 1.7
-81
6.32 ± 0.36
13.5 ± 1.0
-166
8.14 ± 0.53
9.13 ± 1.5
-112
10.16 ± 0.63
5.9 ± 0.5
-72
S4
