# Analysis on Binding Energy and Auger Parameter for Estimating Size

Authors: Santanu Bera; Sandip Dhara; S. Velmurugan; A. K. Tyagi
Journal: International Journal of Spectroscopy
 (2012)

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## Abstract

ZnO nanorods prepared through chemical vapor deposition technique are characterized by microscopic and X-ray photoelectron spectroscopy (XPS) techniques to correlate the effects of size on the binding energy of Zn 2p3/2 photoelectrons. A positive shift in Zn 2p3/2-binding energy as compared to that in bulk ZnO is assumed to be the effect of size of ZnO tips. The shift in binding energy has been explained in terms of relaxation energy in the photoemission process. Simultaneously, Auger parameter of the nanorods is evaluated for stoichiometric composition. The extra peak in O1s spectrum of nanorods is explained as adsorbed O-bearing species or surface contaminants.


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## Body

## 1. Introduction

One-dimensional (1-D) nanostructures of semiconducting materials have received much attention in recent years, with the expectation that they can be applied to short-wavelength optical devices and excitonic devices operating at room temperature. In particular, the exciton-binding energies in GaN and ZnO are reported so large that they can be applied to laser devices based on excitonic processes. In fact, exciton-related stimulated emission and optically pumped laser action in GaN and ZnO nanostructures have been observed at room temperature [1, 2].  Its high band gap energy of 3.37 eV at room temperature [3] and free-exciton binding energy (60 meV) [2] which is much larger than that of GaN (~25 meV) [1] along with its larger absorption coefficient compared to GaN make ZnO a potential candidate for optoelectronics applications. A detailed photoluminescence (PL) study at low temperature with assignments of excitonic peaks and associated longitudinal optical (LO) phonon replicas along with donor-pair-acceptor transitions has been reported for ZnO single crystalline sample [4]. Looking at the importance in the understanding of electronic properties for the ultimate optoelectronic applications, a study on the effect of size dispersion on electronic properties will be extremely important.We report here the photoelectron spectroscopic studies of stoichiometric ZnO nanorods (NRs), grown by catalyst-free chemical vapor deposition (CVD) technique, with sharp facets. Role of size in these nanostructure on the binding energy of photoelectrons is studied in the light of final state effects of the photoemission process.


## 2. Experimental Details

ZnO NRs were grown onp++-Si (~0.001 Ohm-cm) substrate in the flow of N2/O2 (500 sccm) at 130–140°C by CVD technique using metalorganic precursor of zinc bisacetylacetonate hydrate [Zn(AA)2·xH2O; Zn(C5H7O2)2·xH2O] [5]. The morphology of the NRs was studied using field emission scanning electron microscopy (FESEM; M/S Carl Zeiss, Model Supra 55).X-ray photoelectron spectroscopy (XPS) studies were carried out in an ultrahigh vacuum chamber fitted with dual X-ray sources (VG ESCA LAB MKII). Al Kα was used as the exciting source (1486.6 eV) of photoelectrons, and a hemispherical analyzer (150 mm diameter) was used for energy analysis. The pass energy for the high-resolution scan was kept at 20 eV. The spectrometer was calibrated by recording the binding energy of Au 4f7/2 peak at 83.9 eV. C1s peak at 284.6 eV was taken as an internal standard for correcting the shift in binding energy peaks due to charging of the samples which was amounting to 3.9 eV for nanorods and 0.8 eV for the bulk powder. The accuracy of measurement of the binding energy is ±0.1 eV and uncertainty ≤0.2 eV.


## 3. Results and Discussion

### 3.1. Morphological Studies

FESEM images show well-aligned NRs with diameters ~100 nm (for different orientations in Figure1) grown using CVD technique.  Structural details including small facets ~5–10 nm of the aligned NRs are reported elsewhere [5].FESEM image of aligned ZnO NRs with diameters ~100 nm in different orientations.
(a)(b)


### 3.2. Photoelectron Spectroscopic Studies

Detailed XPS analyses on ZnO NRs and bulk ZnO powder were carried out by recording Zn 2p, O1s, and Zn LMM Auger lines.  The photoelectron spectra from bulk ZnO powder were taken as reference peaks of Zn 2p or O1s and compared with those obtained from NRs prepared by the above method.


#### 3.2.1. Modified Auger Parameter

Modified Auger parameter is an important energy parameter for identifying the chemical state of elements where chemical shift is very small or comparable with the energy resolution of the instrument. The chemical shift of Zn 2p3/2 peak is very small in ZnO and thus is difficult to identify the chemical state of Zn in ZnO. Finding modified Auger parameter (α′) can be an ideal method to get the chemical state and stoichiometry of ZnO NRs. In principle, the parameter is calculated by adding the binding energy of the most intense photoelectron peak with the kinetic energy of the sharpest Auger peak. For ZnO samples, the Auger parameter was calculated by taking the binding energy of Zn 2p3/2 photoelectron peak and kinetic energy of Zn L3M45M45 Auger peak (Table 1).Table 1
Binding energy and modified Auger parameter (m-AP) obtained from different samples.
SampleZn 2p3/2Zn L3M45M45m-APO1s(FWHM)(Kinetic energy)(α′)(FWHM)eVeVeVeVZnO NRs1022.1 (1.9)988.32010.4529.9 (1.6)531.9 (2.9)ZnO  Bulk1021.6 (1.9)988.82010.4529.9 (1.6)ZnO Bulk [6]1021.72010.5


#### 3.2.2. Analysis on Zn 2p3/2 Photoelectron Peak

In Figure2, the Zn 2p3/2 peak obtained from ZnO NRs is compared with that from bulk ZnO. The Zn 2p3/2 peak from bulk Zn was recorded at 1021.6 eV with peak width 1.9 eV which matches well with the literature value [6]. In case of aligned ZnO NRs, the peak was seen to be shifted to 1022.1 eV without changing the peak width as compared to bulk powder (Table 1).Figure 2
Zn 2p3/2 photoelectron spectra obtained from bulk ZnO, and aligned NRs.The shift in binding energy is combination of two contributions, (i) true chemical shift of the level due to charge redistribution in process of chemical interaction and (ii) the shift due to the final state effects of the photoemission process. The shift in binding energy originating from the final state effects is explained in terms of relaxation energy involved in the process. In the photoemission process, the holes created undergo relaxation by recombining with electrons. During this process, the kinetic energy of the out-going electron is influenced by the screening effect of the hole. It has been observed that when the cluster size ~5 nm, the relaxation is too significant to give a remarkable increase in binding energy compared to bigger clusters, as observed in case of Ag nanoparticles [7, 8]. In the presence of large number of atoms in bulk ZnO,  the relaxation effect is smeared out. On the other hand, the effect is prominent with less number of electrons involved in the screening of the holes created in the photoemission process for nanosized crystal.The shift in binding energy in ZnO NRs assembly compared to bulk ZnO carries important information. In the work by Radnik et al. [9] on Au nanoparticles, it was indicated that nanostructures of the order of 3–5 nm undergo relaxation effects. ZnO NRs are known to grow in spirality by attachment of nanotips of dimension below 5 nm [10].   In the present case, the end of the nanorods are expected to have isolated nanotips on each nanorods. The photoelectron signal from the NRs is basically contributed from these tips ~5 nm [5]. It is right to say that majority of photoelectrons are coming from the mean free path depth of Zn 2p3/2 electrons which is of the order of 2 nm [9]. When the cluster size is of the order of 5 nanometers, the shift due to relaxation energy dominates very much compared to that in the bulk ZnO. This resulted in a reduced kinetic energy of the outgoing photoelectrons which resulted in an increase in binding energy. The narrow peak width of the Zn 2p3/2 signifies the uniform size of the nanotips of the rods.Determination of Auger parameter was observed to be a useful tool to find stoichiometry of the surface of oxides [11, 12]. In Table 1, the modified Auger parameter of the NRs is shown and is compared with the bulk value of ZnO. The modified Auger parameter was seen at 2010.4 eV which is exactly matching with the value for bulk ZnO [6]. This indicates the formation of stoichiometric ZnO in the nanotubes even at the surface of NRs.It is observed that though the relaxation energy of around 0.5 eV is developed in the photoemission process due to particle size, the effect has no contribution to the value of the Auger parameter. It has been observed earlier in case of Ag nanoparticles [13] that the change in binding energy due to change in the particle size also leads to the change in Auger peak energy [13]. In the present case, it is also expected that there is a corresponding negative shift in Auger kinetic energy in the relaxation process which nullifies the size effect on Auger parameter.The importance of determination of Auger parameter is lying in the interpretation of O1s peak. In Figure3, the O1s peak acquired from ZnO NRs is shown and is compared with bulk ZnO. The O1s peak at 529.9 eV contributed to the O− ions in the ZnO lattice and is surrounded by Zn ions and hence indicates the bonding of ZnO. The higher energy peak at 531.9 eV has been observed earlier [14–16] and has been interpreted as defect oxygen [14] or the oxygen containing surface contaminants [16]. However, the Auger parameter value strongly denies the presence of O defect sites at the surface. In general, the surface −OH may contribute to the peak at this binding energy which indicates the presence of adsorbed hydroxide or surface contamination [16]. As XPS technique includes below-surface information also, it may appear that the −OH might have originated from the bulk of ZnO NRs, but an information depth ~2-3 nm with probe energy of Al Kα (1486.6 eV) can be considered as surface where the presence of −OH groups are postulated. We can also state here that XRD of the sample did not show any phase other than the ZnO [5].Figure 3
O 1s photoelectron spectra obtained from bulk ZnO, and aligned NRs.


## 3.1. Morphological Studies

FESEM images show well-aligned NRs with diameters ~100 nm (for different orientations in Figure1) grown using CVD technique.  Structural details including small facets ~5–10 nm of the aligned NRs are reported elsewhere [5].FESEM image of aligned ZnO NRs with diameters ~100 nm in different orientations.
(a)(b)


## 3.2. Photoelectron Spectroscopic Studies

Detailed XPS analyses on ZnO NRs and bulk ZnO powder were carried out by recording Zn 2p, O1s, and Zn LMM Auger lines.  The photoelectron spectra from bulk ZnO powder were taken as reference peaks of Zn 2p or O1s and compared with those obtained from NRs prepared by the above method.


### 3.2.1. Modified Auger Parameter

Modified Auger parameter is an important energy parameter for identifying the chemical state of elements where chemical shift is very small or comparable with the energy resolution of the instrument. The chemical shift of Zn 2p3/2 peak is very small in ZnO and thus is difficult to identify the chemical state of Zn in ZnO. Finding modified Auger parameter (α′) can be an ideal method to get the chemical state and stoichiometry of ZnO NRs. In principle, the parameter is calculated by adding the binding energy of the most intense photoelectron peak with the kinetic energy of the sharpest Auger peak. For ZnO samples, the Auger parameter was calculated by taking the binding energy of Zn 2p3/2 photoelectron peak and kinetic energy of Zn L3M45M45 Auger peak (Table 1).Table 1
Binding energy and modified Auger parameter (m-AP) obtained from different samples.
SampleZn 2p3/2Zn L3M45M45m-APO1s(FWHM)(Kinetic energy)(α′)(FWHM)eVeVeVeVZnO NRs1022.1 (1.9)988.32010.4529.9 (1.6)531.9 (2.9)ZnO  Bulk1021.6 (1.9)988.82010.4529.9 (1.6)ZnO Bulk [6]1021.72010.5


### 3.2.2. Analysis on Zn 2p3/2 Photoelectron Peak

In Figure2, the Zn 2p3/2 peak obtained from ZnO NRs is compared with that from bulk ZnO. The Zn 2p3/2 peak from bulk Zn was recorded at 1021.6 eV with peak width 1.9 eV which matches well with the literature value [6]. In case of aligned ZnO NRs, the peak was seen to be shifted to 1022.1 eV without changing the peak width as compared to bulk powder (Table 1).Figure 2
Zn 2p3/2 photoelectron spectra obtained from bulk ZnO, and aligned NRs.The shift in binding energy is combination of two contributions, (i) true chemical shift of the level due to charge redistribution in process of chemical interaction and (ii) the shift due to the final state effects of the photoemission process. The shift in binding energy originating from the final state effects is explained in terms of relaxation energy involved in the process. In the photoemission process, the holes created undergo relaxation by recombining with electrons. During this process, the kinetic energy of the out-going electron is influenced by the screening effect of the hole. It has been observed that when the cluster size ~5 nm, the relaxation is too significant to give a remarkable increase in binding energy compared to bigger clusters, as observed in case of Ag nanoparticles [7, 8]. In the presence of large number of atoms in bulk ZnO,  the relaxation effect is smeared out. On the other hand, the effect is prominent with less number of electrons involved in the screening of the holes created in the photoemission process for nanosized crystal.The shift in binding energy in ZnO NRs assembly compared to bulk ZnO carries important information. In the work by Radnik et al. [9] on Au nanoparticles, it was indicated that nanostructures of the order of 3–5 nm undergo relaxation effects. ZnO NRs are known to grow in spirality by attachment of nanotips of dimension below 5 nm [10].   In the present case, the end of the nanorods are expected to have isolated nanotips on each nanorods. The photoelectron signal from the NRs is basically contributed from these tips ~5 nm [5]. It is right to say that majority of photoelectrons are coming from the mean free path depth of Zn 2p3/2 electrons which is of the order of 2 nm [9]. When the cluster size is of the order of 5 nanometers, the shift due to relaxation energy dominates very much compared to that in the bulk ZnO. This resulted in a reduced kinetic energy of the outgoing photoelectrons which resulted in an increase in binding energy. The narrow peak width of the Zn 2p3/2 signifies the uniform size of the nanotips of the rods.Determination of Auger parameter was observed to be a useful tool to find stoichiometry of the surface of oxides [11, 12]. In Table 1, the modified Auger parameter of the NRs is shown and is compared with the bulk value of ZnO. The modified Auger parameter was seen at 2010.4 eV which is exactly matching with the value for bulk ZnO [6]. This indicates the formation of stoichiometric ZnO in the nanotubes even at the surface of NRs.It is observed that though the relaxation energy of around 0.5 eV is developed in the photoemission process due to particle size, the effect has no contribution to the value of the Auger parameter. It has been observed earlier in case of Ag nanoparticles [13] that the change in binding energy due to change in the particle size also leads to the change in Auger peak energy [13]. In the present case, it is also expected that there is a corresponding negative shift in Auger kinetic energy in the relaxation process which nullifies the size effect on Auger parameter.The importance of determination of Auger parameter is lying in the interpretation of O1s peak. In Figure3, the O1s peak acquired from ZnO NRs is shown and is compared with bulk ZnO. The O1s peak at 529.9 eV contributed to the O− ions in the ZnO lattice and is surrounded by Zn ions and hence indicates the bonding of ZnO. The higher energy peak at 531.9 eV has been observed earlier [14–16] and has been interpreted as defect oxygen [14] or the oxygen containing surface contaminants [16]. However, the Auger parameter value strongly denies the presence of O defect sites at the surface. In general, the surface −OH may contribute to the peak at this binding energy which indicates the presence of adsorbed hydroxide or surface contamination [16]. As XPS technique includes below-surface information also, it may appear that the −OH might have originated from the bulk of ZnO NRs, but an information depth ~2-3 nm with probe energy of Al Kα (1486.6 eV) can be considered as surface where the presence of −OH groups are postulated. We can also state here that XRD of the sample did not show any phase other than the ZnO [5].Figure 3
O 1s photoelectron spectra obtained from bulk ZnO, and aligned NRs.


## 3.2.1. Modified Auger Parameter

Modified Auger parameter is an important energy parameter for identifying the chemical state of elements where chemical shift is very small or comparable with the energy resolution of the instrument. The chemical shift of Zn 2p3/2 peak is very small in ZnO and thus is difficult to identify the chemical state of Zn in ZnO. Finding modified Auger parameter (α′) can be an ideal method to get the chemical state and stoichiometry of ZnO NRs. In principle, the parameter is calculated by adding the binding energy of the most intense photoelectron peak with the kinetic energy of the sharpest Auger peak. For ZnO samples, the Auger parameter was calculated by taking the binding energy of Zn 2p3/2 photoelectron peak and kinetic energy of Zn L3M45M45 Auger peak (Table 1).Table 1
Binding energy and modified Auger parameter (m-AP) obtained from different samples.
SampleZn 2p3/2Zn L3M45M45m-APO1s(FWHM)(Kinetic energy)(α′)(FWHM)eVeVeVeVZnO NRs1022.1 (1.9)988.32010.4529.9 (1.6)531.9 (2.9)ZnO  Bulk1021.6 (1.9)988.82010.4529.9 (1.6)ZnO Bulk [6]1021.72010.5


## 3.2.2. Analysis on Zn 2p3/2 Photoelectron Peak

In Figure2, the Zn 2p3/2 peak obtained from ZnO NRs is compared with that from bulk ZnO. The Zn 2p3/2 peak from bulk Zn was recorded at 1021.6 eV with peak width 1.9 eV which matches well with the literature value [6]. In case of aligned ZnO NRs, the peak was seen to be shifted to 1022.1 eV without changing the peak width as compared to bulk powder (Table 1).Figure 2
Zn 2p3/2 photoelectron spectra obtained from bulk ZnO, and aligned NRs.The shift in binding energy is combination of two contributions, (i) true chemical shift of the level due to charge redistribution in process of chemical interaction and (ii) the shift due to the final state effects of the photoemission process. The shift in binding energy originating from the final state effects is explained in terms of relaxation energy involved in the process. In the photoemission process, the holes created undergo relaxation by recombining with electrons. During this process, the kinetic energy of the out-going electron is influenced by the screening effect of the hole. It has been observed that when the cluster size ~5 nm, the relaxation is too significant to give a remarkable increase in binding energy compared to bigger clusters, as observed in case of Ag nanoparticles [7, 8]. In the presence of large number of atoms in bulk ZnO,  the relaxation effect is smeared out. On the other hand, the effect is prominent with less number of electrons involved in the screening of the holes created in the photoemission process for nanosized crystal.The shift in binding energy in ZnO NRs assembly compared to bulk ZnO carries important information. In the work by Radnik et al. [9] on Au nanoparticles, it was indicated that nanostructures of the order of 3–5 nm undergo relaxation effects. ZnO NRs are known to grow in spirality by attachment of nanotips of dimension below 5 nm [10].   In the present case, the end of the nanorods are expected to have isolated nanotips on each nanorods. The photoelectron signal from the NRs is basically contributed from these tips ~5 nm [5]. It is right to say that majority of photoelectrons are coming from the mean free path depth of Zn 2p3/2 electrons which is of the order of 2 nm [9]. When the cluster size is of the order of 5 nanometers, the shift due to relaxation energy dominates very much compared to that in the bulk ZnO. This resulted in a reduced kinetic energy of the outgoing photoelectrons which resulted in an increase in binding energy. The narrow peak width of the Zn 2p3/2 signifies the uniform size of the nanotips of the rods.Determination of Auger parameter was observed to be a useful tool to find stoichiometry of the surface of oxides [11, 12]. In Table 1, the modified Auger parameter of the NRs is shown and is compared with the bulk value of ZnO. The modified Auger parameter was seen at 2010.4 eV which is exactly matching with the value for bulk ZnO [6]. This indicates the formation of stoichiometric ZnO in the nanotubes even at the surface of NRs.It is observed that though the relaxation energy of around 0.5 eV is developed in the photoemission process due to particle size, the effect has no contribution to the value of the Auger parameter. It has been observed earlier in case of Ag nanoparticles [13] that the change in binding energy due to change in the particle size also leads to the change in Auger peak energy [13]. In the present case, it is also expected that there is a corresponding negative shift in Auger kinetic energy in the relaxation process which nullifies the size effect on Auger parameter.The importance of determination of Auger parameter is lying in the interpretation of O1s peak. In Figure3, the O1s peak acquired from ZnO NRs is shown and is compared with bulk ZnO. The O1s peak at 529.9 eV contributed to the O− ions in the ZnO lattice and is surrounded by Zn ions and hence indicates the bonding of ZnO. The higher energy peak at 531.9 eV has been observed earlier [14–16] and has been interpreted as defect oxygen [14] or the oxygen containing surface contaminants [16]. However, the Auger parameter value strongly denies the presence of O defect sites at the surface. In general, the surface −OH may contribute to the peak at this binding energy which indicates the presence of adsorbed hydroxide or surface contamination [16]. As XPS technique includes below-surface information also, it may appear that the −OH might have originated from the bulk of ZnO NRs, but an information depth ~2-3 nm with probe energy of Al Kα (1486.6 eV) can be considered as surface where the presence of −OH groups are postulated. We can also state here that XRD of the sample did not show any phase other than the ZnO [5].Figure 3
O 1s photoelectron spectra obtained from bulk ZnO, and aligned NRs.


## 4. Conclusions

In conclusion, the binding energy of Zn 2p3/2 photoelectrons from ZnO NRs showed a significant shift in binding energy compared to its bulk value. The shift in binding energy is attributed to the presence of nanotips on the rods of size ~5 nm. The Auger parameter value, however, was not changed in NRs indicating the formation of stoichiometric ZnO nanorods.



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*Source: 371092-2011-10-02.xml*